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Read More UT Math ranked 14th by US News March 11 2014 UT Math department retained its ranking as 14 by US News World Report Three of our programs are ranked top ten in the rankings Analysis 8 Applied Math 10 and Topology 8 Amir Mohammadi awarded a Sloan Fellowship February 18 2014 Amir Mohammadi has been awarded a 2014 Alfred P Sloan Foundation Fellowship A list of this years fellows is available at http www sloan org sloan research fellowships 2014 sloan research fellows Irene Gamba to give 2014 Sonia Kovalevsky Lecture January 23 2014 Professor Irene Gamba has been invited by the Association for Women in Mathematics and Society for Industrial and Applied Mathematics SIAM to be the 2014 Sonia Kovalevsky Lecturer The Kovalevsky Lectures honor women who have made fundamental and sustained contributions to applied or computational mathematics Irene will deliver the lecture at the 2014 SIAM Annual Meeting in Chicago in July 2014 Read More Caffarelli awarded Steele Prize December 5 2013 Luis Caffarelli along with collaborators Robert Kohn and Louis Nirenberg have been awarded the 2014 AMS Steele Prize for a Seminal Contribution to Research Read More Figalli and Zariphopoulou to speak ICM 2014 September 5 2013 Two of our faculty members Alessio Figalli and Thaleia Zariphopoulou have been invited to speak at ICM 2014 in the sections on Analysis and Applications and Mathematics in Science and Technology respectively Read More Mathematics Welcomes Its Fall 2013 New Members August 25 2013 The Department would like to welcome all of its new members This semester eleven new faculty members and thirty one graduate students has joined the department read more about our new faculty Prof Caffarelli received a Solomon Lefschetz medal Aug 6 2013 This morning Prof Caffarelli received the Solomon Lefschetz medal at the Mathematical Congress of the Americas Two Solomon Lefschetz Medals have been awarded to mathematicians in recognition of the excellence in their research and the relevant contributions done for the development of mathematics in the Americas Read more Jane Arledge to Receive Teaching Fellowship June 17 2012 Dr Jane Arledge has been selected to hold a Dads Association Centennial Teaching Fellowship for the 2013 14 Fall semester The award is the latest recognition of Jane s teaching excellence and commitment to students Caffarelli to Receive Honorary Degree from University of Chicago May 16 2013 Luis A Caffarelli a universally acclaimed forefront authority on nonlinear elliptic PDEs will receive a Doctor of Science honorary degree from University of Chicago at its 515th Convocation on Saturday June 15 Read more Tsai is awarded a Simons Fellowship May 7 2013 Richard Tsai is awarded a 2013 Simons Fellowship from the Simons Foundation who made the announcement in the New York Times yesterday Richard will receive compensation for a full year of academic leave to focus solely on research Read more Math Dept Spring 13 awards May 6 2013 Six of our Faculty members and eleven graduate students have been honored at our Spring 2013 awards

Original URL path: http://www.ma.utexas.edu/ (2015-12-09)

Open archived version from archive - Faculty Positions

Webmail SquirrelMail Alumni Friends Support UT Math Alumnae Alumni Letter From the Chair News Events Seminar Calendar Conferences Awards Photo Gallery Calendars Newsletters Quick Links Quest Bevoware Canvas UT Direct MathSciNet MP arc CCRT Contact Us Directions Maps Employment Faculty Positions Lecturer Positions TA Specialist Grading Jobs Learning Assistant Teaching Assistant DEPARTMENT OF MATHEMATICS THE UNIVERSITY OF TEXAS AT AUSTIN AUSTIN TEXAS 78712 Expected openings for Fall 2016 include a Instructorships associated to R H Bing Faculty Fellowships and b one position at the tenure tenure track tenure level a Each R H Bing Fellow holds an Instructorship in the Mathematics Department with a teaching load of one course in one semester The combined Instructorship Fellowship stipend for nine months is 60 000 which is supplemented by a travel allowance of 1 000 Pending satisfactory performance of teaching duties the Fellowship can be renewed for two additional years Applicants must show outstanding promise in research Bing Fellowship applicants will automatically be considered for other departmental openings at the postdoctoral level so a separate application for such a position is unnecessary Those wishing to apply for Instructor positions are asked to send a vita and a brief research summary to the above address c o Instructor Committee Applying through MathJobs Org is strongly encouraged b An applicant for a tenure tenure track or tenured position must present a record of exceptional achievement in her or his research area and must demonstrate a proficiency at teaching Duties consist of teaching undergraduate or graduate courses conducting independent research and my include the supervision of M A or Ph D students In addition to the duties indicated above for Instructors such an appointment will typically entail the supervision of Ph D students The salary will be commensurate with the level at which the position

Original URL path: http://www.ma.utexas.edu/about/jobs/faculty.php (2015-12-09)

Open archived version from archive - Lecturer Positions

the Chair News Events Seminar Calendar Conferences Awards Photo Gallery Calendars Newsletters Quick Links Quest Bevoware Canvas UT Direct MathSciNet MP arc CCRT Contact Us Directions Maps Employment Faculty Positions Lecturer Positions TA Specialist Grading Jobs Learning Assistant Teaching Assistant THE UNIVERSITY OF TEXAS AT AUSTIN DEPARTMENT OF MATHEMATICS Lecturer Positions Job Description The Department of Mathematics is developing a pool of Lecturer candidates for non tenure track teaching positions Positions are not available every semester Primary duties include teaching lower and upper division undergraduate courses A full time position consists of teaching three courses per semester Appointments are made each semester with continuing appointments contingent upon satisfactory performance instructional need and budgetary constraints A Ph D in the mathematical sciences is required although the rare exception may be made for applicants with special technical qualifications desired by the department Also reqired is previous teaching experience at the university level commitment to quality teaching and good communication skills Additional consideration may be given to applicants with experience and or interest in working on course coordination development advising and other departmental needs Applicant Instructions Complete applications will consist of a cover letter a current CV and a statement detailing teaching experience

Original URL path: http://www.ma.utexas.edu/about/jobs/lecturer.php (2015-12-09)

Open archived version from archive - Grading Jobs

The 11th Level The 12th Level The 13th Level RLM Recyling Webmail SquirrelMail Alumni Friends Support UT Math Alumnae Alumni Letter From the Chair News Events Seminar Calendar Conferences Awards Photo Gallery Calendars Newsletters Quick Links Quest Bevoware Canvas UT Direct MathSciNet MP arc CCRT Contact Us Directions Maps Employment Faculty Positions Lecturer Positions TA Specialist Grading Jobs Learning Assistant Teaching Assistant Grader Application and Information for Spring 2016 To work as an undergraduate grader you must be admitted to the university be in good academic standing and be enrolled in at least 12 semester credit hours for that semester If you are hired as a grader your total employment in any title at UT Austin may not exceed 20 hours per week There are usually more applicants than positions so if you aren t hired please apply again next semester The best way to get hired as a grader is to make As in your math classes Students we hire will be notified by email a week or so before classes start Most grader appointments are for eight one class or sixteen two classes hours a week If you submit an application and anything changes please notify us as

Original URL path: http://www.ma.utexas.edu/about/jobs/grader.php (2015-12-09)

Open archived version from archive - Learning Assistant

UT Math Alumnae Alumni Letter From the Chair News Events Seminar Calendar Conferences Awards Photo Gallery Calendars Newsletters Quick Links Quest Bevoware Canvas UT Direct MathSciNet MP arc CCRT Contact Us Directions Maps Employment Faculty Positions Lecturer Positions TA Specialist Grading Jobs Learning Assistant Teaching Assistant Learning Assistant The duties of a student Learning Assistant LA can vary from course to course the experience for all LAs involves three related activities Content LAs meet weekly with their mathematics faculty instructor and LA Coordinator to plan for the upcoming week reflect on the previous week analyze assessment data and support Calculus Lab hours Practice LAs facilitate collaboration among learning teams of students by formatively assessing student understanding and asking guiding questions LAs assist the faculty instructor and course TAs Pedagogy LAs attend an orientation and a mandatory weekly meeting with the LA Coordinator where they reflect on their own teaching and learning and make connections to relevant education practices The following criteria have been established for the selection of learning assistants A Undergraduate Math majors who have received excellent grades in M408C and D and in any upper division mathematics courses taken B Undergraduate Math majors who have completed their Freshman year Eligibility Considerations Requirements Evidence of outstanding scholarship in M408C and D or equivalent and any upper division mathematics courses taken Undergraduate assistants must be working toward their first degree Students on Probation can not be hired regardless of having high grades in Mathematics Students who have been held in violation of University Standards of Conduct may not be eligible Each student selected as a Learning Assistant in the Mathematics Department may be asked questions to determine his her proficiency in the course the student will assist All new Learning Assistants must present proof of eligibility for employment by completing

Original URL path: http://www.ma.utexas.edu/about/jobs/la.php (2015-12-09)

Open archived version from archive - Teaching Assistant

delivery of courses Services provided by teaching assistants include but are not limited to grading monitoring leading lab and or discussion sessions offering office hour assistance to students and performing clerical tasks associated with course instruction Teaching assistants are supervised by the course instructor of record and are subject to established departmental policies on student academic employment T he duties of a Mathematics Teaching Assistant TA can vary from course to course please see a list of duties here Eligibility Considerations Requirements To be eligible for appointment as a teaching assistant a nominee must Be a degree seeking graduate student without existing admissions conditions imposed by the Vice Provost and Dean of Graduate Studies Be in good academic standing and making satisfactory progress toward a graduate degree Remain registered in courses that count toward the graduate degree for at least nine semester hours during each semester of the long session and If holding an appointment for any summer term first six weeks second six weeks nine weeks or twelve weeks must remain registered in courses that count toward the graduate degree for at least three summer hours during any term of the summer session The following criteria have been established for selecting Teaching Assistants Graduate students who have received excellent grades in Calculus courses and in any upper division mathematics courses taken Graduate students who have previous teaching experience are preferred Each student selected as a Teaching Assistant in the Mathematics Department may be asked questions to determine his her proficiency in the course the student will assist International students are required to have competed ITA English Certification Information about this University wide requirement is here All new Teaching Assistants must present proof of eligibility for employment by completing a Verification of Identity and United States Employment Authorization for All

Original URL path: http://www.ma.utexas.edu/about/jobs/ta.php (2015-12-09)

Open archived version from archive - Actuarial Studies

actuarial studies is also available as an informal concentration and may be taken by students in any major Such students take mathematics courses that cover preliminary examination learning objectives Besides calculus linear algebra probability and statistics seven mathematics M actuarial courses plus one actuarial foundation ACF course anchor the actuarial program Students who complete these courses and pass at least two professional examinations can be competitive in the actuarial job market Three additional mathematics actuarial courses computing courses economics courses business courses and public speaking courses compose the remainder of the concentration s core students completing these will be even more competitive for actuarial jobs Additional suggested courses provide further breadth and depth especially for graduate students Because the program requires so much mathematics many students choose to pursue an undergraduate or graduate degree in mathematics Alternatively students can take these courses as electives and major in any other area Many business students have a major in the business school but still pursue a concentration in actuarial studies Actuarial employers have hired students from the actuarial program that majored in such diverse fields as computer science psychology electrical engineering German botany music physics and art history Students should seek advice from the undergraduate or graduate advisor of any field in which they are considering majoring as well as from Mark Maxwell or Alisa Walch Regardless of major students must meet the requirements of that major in addition to the recommendations for the actuarial concentration Support Professor Maxwell works closely with the actuarial community and the CNS Career Design Center to help graduates obtain entry level jobs and to help continuing students obtain summer internships Approximately 20 actuarial employers will participate at the 2015 CNS Fall Career Expo which is on Monday September 21st from 1 00 pm 6 00 pm in the Frank Erwin Center About 10 actuarial employers will attend the CNS Spring Career Expo The actuarial profession has a long history of supporting our actuarial program with their time serving on advisory boards presenting to the student club providing mock interviews and recruiting interns and full time employees as well as with financial contributions We received gifts from about individuals and businesses last year as well as support from the professional organizations Actuaries Club of the Southwest and the Southwest Actuarial Forum During the 2011 2012 academic year 35 students were awarded 53 500 total in scholarships funded from annual donations 13 000 total in endowed scholarships and 24 600 total in TDI internship scholarships For information on the special financial aid available for continuing actuarial students scholarships TDI Internship Scholarships and Forgivable Loans please see the financial aid announcement 2012 2013 will be updated soon Students As of fall 2015 our program boasts 350 students graduating about 85 annually The vast majority of our students are either seeking a B S in Mathematics Option 1 Actuarial Science or are in the Red McCombs School of Business with a concentration in actuarial studies A few students already hold

Original URL path: http://www.ma.utexas.edu/dev/actuarial/ (2015-12-09)

Open archived version from archive - Faculty Research Interests

mixed finite element and mortar techniques for geometrically irregular problems homogenization modeling and simulation of flow through multiscale fractured and vuggy geologic media and variational multiscale methods for heterogeneous media and nonlinear problems Luis Caffarelli Professor Sid W Richardson Foundation Regents Chair No 1 Ph D University of Buenos Aires 1972 10 150A ACE 3 328 512 471 3160 475 8635 caffarel math utexas edu Alessio Figalli Professor R L Moore Chair Ph D SNS Pisa Italy and ENS Lyon France 2007 RLM 10 148 512 475 8145 figalli math utexas edu My research focuses on different areas related to both analysis and geometry One of my main field of research is optimal transport given a mass distribution find the most effective way of moving this mass from one place to another minimizing the transportation cost This problem has found in recent years important applications to many other different areas such as Monge AmpÃ re type equations evolution partial differential equations isoperimetric and functional inequalities Riemannian geometry I have been working in all of these areas I also work in variational problems in the calculus of variations as for instance studying geometric and regularity properties of minimizers of functionals modeling liquid drops and crystals More recently I also started to work on regularity theory for elliptic partial differential equations both of local and non local type and free boundary problems Irene Gamba Professor Ph D University of Chicago 1989 RLM 10 166 ACES 3 340 512 471 7150 471 7422 gamba math utexas edu Applied and Computational Analysis Mathematical and Statistical Physics non linear Kinetic and Partial Differential Equations Oscar Gonzalez Professor Ph D Stanford University 1996 RLM 10 122 512 471 1138 og math utexas edu My general interests are in computational and applied mathematics with an emphasis on classical continuum mechanics My current efforts are focused on modeling the mechanical properties of DNA at various length scales Keywords modeling numerical analysis differential equations integral equations geometry of curves and surfaces Dan Knopf Professor Ph D University of Wisconsin Milwaukee 1999 RLM 9 152 512 471 8131 danknopf math utexas edu I work on problems in geometric analysis The broad motivations for my research program are to find and classify optimal geometries by using evolution equations like Ricci flow mean curvature flow and cross curvature flow I use techniques from analysis to understand the behavior singularity formation and stability of solutions to the nonlinear partial differential equations governing these flows These equations have applications to the geometry and topology of manifolds as well as to problems originating in materials science and physics Alexis Vasseur Professor Ph D Ecole Normale Superieure Paris VI 1999 RLM 11 172 512 471 2363 vasseur math utexas edu I am working on Partial Differential equations I am particularly interested in the PDE s used in Fluid mechanics Dynamical Systems and Ergodic Theory Alessio Figalli Professor R L Moore Chair Ph D SNS Pisa Italy and ENS Lyon France 2007 RLM 10 148 512 475 8145 figalli math utexas edu My research focuses on different areas related to both analysis and geometry One of my main field of research is optimal transport given a mass distribution find the most effective way of moving this mass from one place to another minimizing the transportation cost This problem has found in recent years important applications to many other different areas such as Monge AmpÃ re type equations evolution partial differential equations isoperimetric and functional inequalities Riemannian geometry I have been working in all of these areas I also work in variational problems in the calculus of variations as for instance studying geometric and regularity properties of minimizers of functionals modeling liquid drops and crystals More recently I also started to work on regularity theory for elliptic partial differential equations both of local and non local type and free boundary problems Hans Koch Professor Ph D Geneva Switzerland 1979 RLM 12 152 512 471 8183 koch math utexas edu renormalization in dynamical systems computer assisted proofs in dynamical systems and PDEs phase transitions in statistical mechanics Amir Mohammadi Assistant Professor Ph D Yale University 2009 RLM 12 160 512 471 8186 amir math utexas edu Charles Radin Professor Ph D Rochester 1970 RLM 12 114 512 471 0174 radin math utexas edu I use geometric features of dense packings of spheres and other bodies in the modeling of equilibrium and nonequilibrium materials Probability and ergodic theory often play a role Lorenzo Sadun Professor Ph D University of California Berkeley 1987 RLM 9 114 512 471 7121 475 8141 sadun math utexas edu I study the topology and dynamics of tiling spaces mostly but not exclusively tilings of Euclidean space These are multi dimensional generalizations of symbolic dynamics with geometry playing a substantial role I am also interested in the interplay of differential geometry statistical mechanics and quantum mechanics Financial Mathematics Mihai Sirbu Associate Professor Ph D Carnegie Mellon University 2004 RLM 11 140 512 471 5161 sirbu math utexas edu My research area is Mathematical Finance and Stochastic Control I am mainly interested in pricing hedging and optimal investment in incomplete markets and markets with frictions and the stochastic control methods associated to these models Thaleia Zariphopoulou Professor Mathematics and IROM Chair in Mathematics V F Neuhaus Centennial Professor of Finance Ph D Brown University 1989 RLM 11 170 CBA 6 316 512 471 7170 471 9432 zariphop math utexas edu Gordan Zitkovic Associate Professor Ph D Columbia University 2003 RLM 11 132 512 471 1159 gordanz math utexas edu Stochastic analysis and optimal stochastic control with applications to mathematical finance Functional Analysis William Beckner Professor Paul V Montgomery Centennial Memorial Professor in Mathematics Ph D Princeton University 1975 RLM 10 140 512 471 7711 beckner math utexas edu Fourier Analysis Sharp Inequalities and Geometric Manifolds Geometric inequalities provide insight into the structure of manifolds The principal objective of my research is to develop a deeper understanding of the way that sharp constants for function space inequalities over a manifold encode information about the geometric structure of the manifold Asymptotic arguments identify geometric invariants that characterize large scale structure Weighted inequalities provide quantitative information to characterize integrability for differential and integral operators and reflect the dilation character of the manifold Sharp estimates constitute a critical tool to determine existence and regularity for solutions to pde s to demonstrate that operators and functionals are well defined to explain the fundamental structure of spaces and their varied geometric realizations and to suggest new directions for the development of analysis on a geometric manifold Model problems and exact calculations in differential geometry and mathematical physics are a source of insight and stimulus particularly conformal deformation fluid dynamics quantum physics statistical mechanics stellar dynamics string theory and turbulence Charles Radin Professor Ph D Rochester 1970 RLM 12 114 512 471 0174 radin math utexas edu I use geometric features of dense packings of spheres and other bodies in the modeling of equilibrium and nonequilibrium materials Probability and ergodic theory often play a role Geometric Measure Theory Alessio Figalli Professor R L Moore Chair Ph D SNS Pisa Italy and ENS Lyon France 2007 RLM 10 148 512 475 8145 figalli math utexas edu My research focuses on different areas related to both analysis and geometry One of my main field of research is optimal transport given a mass distribution find the most effective way of moving this mass from one place to another minimizing the transportation cost This problem has found in recent years important applications to many other different areas such as Monge AmpÃ re type equations evolution partial differential equations isoperimetric and functional inequalities Riemannian geometry I have been working in all of these areas I also work in variational problems in the calculus of variations as for instance studying geometric and regularity properties of minimizers of functionals modeling liquid drops and crystals More recently I also started to work on regularity theory for elliptic partial differential equations both of local and non local type and free boundary problems Geometric Representation Theory David Ben Zvi Joe B and Louise Cook Professor of Mathematics Ph D Harvard University 1999 RLM 10 168 512 471 8151 benzvi math utexas edu I study interactions between algebraic geometry representation theory and mathematical physics In particular I m interested in applications of techniques from homotopy theory and topological quantum field theory to geometric representation theory and the geometric Langlands program Geometric Topology Jeff Danciger Assistant Professor Ph D Stanford 2011 RLM 10 128 512 471 1140 jdanciger math utexas edu Robert Gompf Professor Jane and Roland Blumberg Centennial Professor Ph D University of California Berkeley 1984 RLM 12 150 512 471 8182 gompf math utexas edu Topology of 4 manifolds symplectic and contact topology especially in dimensions 4 and 3 topological construction of Stein surfaces and domains of holomorphy Cameron Gordon Professor Sid W Richardson Foundation Regents Chair No 2 Ph D Cambridge England 1971 RLM 12 112 512 471 1173 gordon math utexas edu John Luecke Professor Ph D University of Texas Austin 1985 RLM 12 122 512 471 4176 luecke math utexas edu Alan Reid Professor Department Chair Pennzoil Company Regents Professor Ph D University of Aberdeen U K 1988 RLM 10 172 RLM 8 152 512 471 3153 471 0117 areid math utexas edu My interests are in hyperbolic manifolds discrete groups and low dimensional topology with a particular interest in connections with number theory Geometry Daniel Allcock Professor Ph D UC Berkeley 1996 RLM 9 112 512 471 1120 allcock math utexas edu My current interests focus on discrete groups and their role in algebraic geometry and other fields Especially interesting are Coxeter groups and their related braid groups Although group theory is officially algebra the part of it that I like is more a branch of geometry Jeff Danciger Assistant Professor Ph D Stanford 2011 RLM 10 128 512 471 1140 jdanciger math utexas edu Alessio Figalli Professor R L Moore Chair Ph D SNS Pisa Italy and ENS Lyon France 2007 RLM 10 148 512 475 8145 figalli math utexas edu My research focuses on different areas related to both analysis and geometry One of my main field of research is optimal transport given a mass distribution find the most effective way of moving this mass from one place to another minimizing the transportation cost This problem has found in recent years important applications to many other different areas such as Monge AmpÃ re type equations evolution partial differential equations isoperimetric and functional inequalities Riemannian geometry I have been working in all of these areas I also work in variational problems in the calculus of variations as for instance studying geometric and regularity properties of minimizers of functionals modeling liquid drops and crystals More recently I also started to work on regularity theory for elliptic partial differential equations both of local and non local type and free boundary problems Dan Freed Professor Ph D University of California Berkeley 1985 RLM 9 162 512 471 7136 dafr math utexas edu I work on problems in geometry and topology often with an eye towards quantum field theory and string theory My collaboration with Michael Hopkins and Constantin Teleman began with the discovery that the Verlinde ring in conformal field theory may be expressed in terms of twisted K theory We are now investigating various extensions of these ideas and also aspects of topological quantum field theory I am also currently collaborating with Jacques Distler and Gregory Moore on problems arising more directly from physics Robert Gompf Professor Jane and Roland Blumberg Centennial Professor Ph D University of California Berkeley 1984 RLM 12 150 512 471 8182 gompf math utexas edu Topology of 4 manifolds symplectic and contact topology especially in dimensions 4 and 3 topological construction of Stein surfaces and domains of holomorphy Sean Keel Professor Ph D University of Chicago 1989 RLM 9 130 512 471 3126 keel math utexas edu I am an algebraic geometer with particular interests in moduli spaces and birational geometry Dan Knopf Professor Ph D University of Wisconsin Milwaukee 1999 RLM 9 152 512 471 8131 danknopf math utexas edu I work on problems in geometric analysis The broad motivations for my research program are to find and classify optimal geometries by using evolution equations like Ricci flow mean curvature flow and cross curvature flow I use techniques from analysis to understand the behavior singularity formation and stability of solutions to the nonlinear partial differential equations governing these flows These equations have applications to the geometry and topology of manifolds as well as to problems originating in materials science and physics Andrew Neitzke Associate Professor Ph D Harvard University 2005 RLM 9 134 512 471 1132 neitzke math utexas edu I work on geometric problems which are influenced by high energy physics more specifically supersymmetric field theory and string theory For the last several years my main focus has been on using N 2 supersymmetry to understand hyperkahler geometry This has led to surprising connections between wall crossing phenomena for Donaldson Thomas invariants and their generalizations and new constructions of hyperkahler metrics Timothy Perutz Assistant Professor Ph D University of London 2005 RLM 10 136 512 471 6142 perutz math utexas edu My interests are in symplectic topology low dimensional topology with an emphasis on 4 manifolds and interactions between these areas My preferred techniques are those of pseudo holomorphic curves gauge theory and Floer cohomology theories Charles Radin Professor Ph D Rochester 1970 RLM 12 114 512 471 0174 radin math utexas edu I use geometric features of dense packings of spheres and other bodies in the modeling of equilibrium and nonequilibrium materials Probability and ergodic theory often play a role Alan Reid Professor Department Chair Pennzoil Company Regents Professor Ph D University of Aberdeen U K 1988 RLM 10 172 RLM 8 152 512 471 3153 471 0117 areid math utexas edu My interests are in hyperbolic manifolds discrete groups and low dimensional topology with a particular interest in connections with number theory Lorenzo Sadun Professor Ph D University of California Berkeley 1987 RLM 9 114 512 471 7121 475 8141 sadun math utexas edu I study the topology and dynamics of tiling spaces mostly but not exclusively tilings of Euclidean space These are multi dimensional generalizations of symbolic dynamics with geometry playing a substantial role I am also interested in the interplay of differential geometry statistical mechanics and quantum mechanics Homotopy Theory David Ben Zvi Joe B and Louise Cook Professor of Mathematics Ph D Harvard University 1999 RLM 10 168 512 471 8151 benzvi math utexas edu I study interactions between algebraic geometry representation theory and mathematical physics In particular I m interested in applications of techniques from homotopy theory and topological quantum field theory to geometric representation theory and the geometric Langlands program Andrew Blumberg Associate Professor Ph D University of Chicago 2005 RLM 10 160 512 471 3147 blumberg math utexas edu I work in stable homotopy theory focusing primarily on research problems arising from constructions made possible by the modern theory of structured ring spectra and the homotopy theory of module categories over such geometric rings Dan Freed Professor Ph D University of California Berkeley 1985 RLM 9 162 512 471 7136 dafr math utexas edu I work on problems in geometry and topology often with an eye towards quantum field theory and string theory My collaboration with Michael Hopkins and Constantin Teleman began with the discovery that the Verlinde ring in conformal field theory may be expressed in terms of twisted K theory We are now investigating various extensions of these ideas and also aspects of topological quantum field theory I am also currently collaborating with Jacques Distler and Gregory Moore on problems arising more directly from physics Robert Gompf Professor Jane and Roland Blumberg Centennial Professor Ph D University of California Berkeley 1984 RLM 12 150 512 471 8182 gompf math utexas edu Topology of 4 manifolds symplectic and contact topology especially in dimensions 4 and 3 topological construction of Stein surfaces and domains of holomorphy Math Education Michael Starbird Professor Distinguished Teaching Professor Ph D Wisconsin 1974 RLM 11 122 512 471 5156 starbird mail utexas edu Philip Uri Treisman Professor Director Charles A Dana Center for Mathematics and Science Education Ph D University of California Berkeley 1985 RLM 10 162 UTA 3 206 512 232 2271 471 6190 uri math utexas edu I work on the design implementation and analysis of large scale improvement initiatives in mathematics and science education both in higher education and in urban school districts I am actively involved in the formulation and analysis of public policies that affect education especially efforts to address systemic inequality in access to high quality education programming Mathematical Biology Oscar Gonzalez Professor Ph D Stanford University 1996 RLM 10 122 512 471 1138 og math utexas edu My general interests are in computational and applied mathematics with an emphasis on classical continuum mechanics My current efforts are focused on modeling the mechanical properties of DNA at various length scales Keywords modeling numerical analysis differential equations integral equations geometry of curves and surfaces John Luecke Professor Ph D University of Texas Austin 1985 RLM 12 122 512 471 4176 luecke math utexas edu Mathematical Physics William Beckner Professor Paul V Montgomery Centennial Memorial Professor in Mathematics Ph D Princeton University 1975 RLM 10 140 512 471 7711 beckner math utexas edu Fourier Analysis Sharp Inequalities and Geometric Manifolds Geometric inequalities provide insight into the structure of manifolds The principal objective of my research is to develop a deeper understanding of the way that sharp constants for function space inequalities over a manifold encode information about the geometric structure of the manifold Asymptotic arguments identify geometric invariants that characterize large scale structure Weighted inequalities provide quantitative information to characterize integrability for differential and integral operators and reflect the dilation character of the manifold Sharp estimates constitute a critical tool to determine existence and regularity for solutions

Original URL path: http://www.ma.utexas.edu/research/interests.php (2015-12-09)

Open archived version from archive