RTG program in Geometry and Physics

RTG stands for "Research Training Groups" which is a designation used by the National Science Foundation for allotting grant monies. The Stony Brook RTG program in Geometry and Physics is an attempt to re-incorporate concepts of theoretical physics into the Geometry and Topology curricula at all levels starting from the undergraduate to the post-doctoral. Please contact Matt Young at myoung@math.sunysb.edu with any questions or comments regarding this page and its contents.

Group members

Website

Office

Phone

Email

Related research/interests

Faculty

Michael AndersonMath 4-100A631.632.8269anderson@math.sunysb.edu
James GlimmMath P-138A631.632.8355glimm@ams.sunysb.edu
Alexander Kirillov, Jr.Math 3-112631.632.8285kirillov@math.sunysb.edu
H. Blaine Lawson, Jr.Math 5-109631.632.8285blaine@math.sunysb.edu
  • Spin Geometry and Calibrations
  • Gauge Field Theory
  • Dirac Operators in Geometry and Topology
  • Differential Characters
  • Minimal varieties
  • Singular connections and characteristic currents
Claude LeBrunMath 3-108631.632.8254claude@math.sunysb.edu
Michael MovshevMath 4-109631.632.8271mmovshev@math.sunysb.edu
Anthony PhillipsMath 3-113631.632.8259tony@math.sunysb.edu
Martin Roček (YITP)Math 6-116A631.632.7965rocek@insti.physics.sunysb.edu
  • Sigma-models and geometry
  • Hyperkähler geometry
  • Generalized Kähler geometry
Leon TakhtajanMath 5-111631.632.8287leontak@math.sunysb.edu
  • Mathematical physics and applications of quantum theory to complex and algebraic analysis
  • Quantum field theories on algebraic curves and reciprocity laws
  • Kähler geometry of the universal Teichmüller space and univalent maps
  • Two-dimensional quantum gravity and Weil-Petersson geometry of moduli spaces
  • Trace formulas

Visitors

Pawel NurowskiMath 3-102631.632.8884nurowski@math.sunysb.edu

Post-doctoral Fellows

William D. Linch, III (YITP)Math 6-101631.632.7966wdlinch3@math.sunysb.edu
  • Covariant string (field) theories in various dimensions
  • Strings in Ramond-Ramond flux backgrounds
  • Superspaces
Corbett ReddenMath 3-114631.632.8261redden@math.sunysb.edu
Brian WeberMath 3-121631.632.8264brweber@math.sunysb.edu
  • 4-manifolds
  • Spin geometry, quantum geometry, symplectic geometry

Graduate Students

Marcelo Mendes DisconziMath 2-114disconzi@math.sunysb.edu
  • Partial differential equations and analysis
  • Rigorous formulations of quantum field theories
  • AdS/CFT
Patricio GallardoMath 5-125Apgallardo@math.sunysb.edu
Nathaniel RoundsMath 2-119nrounds@math.sunysb.edu
  • Algebraic topology
  • Homotopy types and manifolds
Yury Arkady SobolevArkadyyury@math.sunysb.edu
  • Algebraic Topology Mathematical Physics
Ki SongMath 2-104kiwisquash@math.sunysb.edu
  • Generalized rigid body motion
  • Diff(S1)
  • Teichmüller theory
Stephen Michael TaylorMath 3-101taylor@math.sunysb.edu
  • Differential Geometry
  • Mathematical Relativity
  • General Mathematical Physics
Joseph William WalshMath 2-105jwalsh@math.sunysb.edu
Matthew YoungMath 4-116myoung@math.sunysb.edu
  • Gauge theory and quantum field theory with applications to geometry and topology

Undergraduate Students

Ismayil Jafarovijafarov@ic.sunysb.edu
Jason Jojason.jo.86@gmail.com

Courses

Below are the courses offered as part of the RTG program in Geometry and Physics. The instructors, times, and places listed are those for the current semester (Fall '09).

Course Number

Title

Instructor

Time

Place
MAT 401 The Geometry of Physics I N/A N/A N/A
MAT 402 The Geometry of Physics II N/A N/A N/A
MAT 560 Theoretical Physics for Mathematicians I Weber TuTh 14:20-15:40 Physics 112
MAT 561 Theoretical Physics for Mathematicians II N/A N/A N/A
MAT 570 Concepts of Quantum Mechanics N/A N/A N/A
MAT 648 Advanced topics in Quantum Mechanics N/A N/A N/A
MAT 682 Relativity, Field Theory and the Theory of Connections N/A N/A N/A

RTG Seminar in Geometry and Physics

The RTG seminar in Geometry and Physics (MAT 690) is held on Mondays at 14:20-17:10 in Math P-131.

Date

Title

Speaker
August 30Organizational MeetingWilliam D. Linch III
September 13Review of AdS-CFT CorrespondenceMarcelo Mendes Disconzi
September 29AdS-CFT Part IIMarcelo Mendes Disconzi
October 5AdS-CFT Part IIIMarcelo Mendes Disconzi
October 12Review of (pseudo-)Riemannian geometryFadi Elkhatib
October 19Introduction to RelativityKen Knox
October 26Preview of GR workshopStephen Taylor
November 2Classical field theory: scalars & gauge fieldsCheng Hao
November 9Spinors & spinor fieldsYuri Sobelov
November 16Classical BV formalismSanja Nedic
November 16The Wilsonian Explanation of RenormalizationA.J. Tolland
November 23BRST & Gauge TheoryJoe Walsh
November 30Supersymmetric Yang-Mills Theories and Donaldson InvariantsMatt Young
December 7Seiberg-Witten theoryIlya Elson

Resources

This is a collection of open source materials relevant to the objectives of the RTG program.

Previous Seminars

RTG Library

Miscellanea