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Current Courses

• Spring 2013

  In Progress ...

  Subject	Title	Instructor
  MA 699	Research	Ralph M. Kaufmann
  MA 598	Homological Algebra and Derived Categories [Presentation]	Ralph M. Kaufmann
  MA 661	Modern Differential Geometry	Ben McReynolds
  PHYS 603	Methods of Theoretical Physics IIIB	Sergei Khlebnikov
  PHYS 658	Standard Model and Beyond I [Kähler Geometry and Supersymmetry]	Thomas E. Clark
  MATH	Operad Seminar [Notes 3, 6, 6½]	Ben Ward
  MATH	Group Seminar [Classical Electrodynamics and Yang-Mills Theory]	Ralph M. Kaufmann

• Fall 2012

  Subject	Title	Instructor
  MA 699	Research	Ralph M. Kaufmann
  MA 598	Representation Theory of Real Lie Groups	Freydoon Shahidi
  PHYS 630	Advanced Theory Of Electricity And Magnetism	Denes Molnar
  PHYS 661	Quantum Mechanics II	Sherwin T. Love
  PHYS 663	Quantum Field Theory II	Thomas E. Clark

• Summer 2012

  Summer Reading Group: MTWRF 10:30-12:00 MATH431
  We are following the book Algebraic Operads by Loday and Vallette

  June 11 Organizational Meeting	June 12 algebra (Jason)	June 13 coalgebra (Yongheng)	June 14 bialgebra (J.)	June 15 pre-Lie algebra (Y.)
  June 18 differential graded algebra (J.)	June 19 convolution algebra, twisting morphisms (Y.)	June 20 bar and cobar construction (J.)	June 21 Ω-Β adjunction, Koszul morphism (Y.)	June 22 cobar construction, quasi-iso (J.)
  June 25 ¡ and ! for (co)algebras (Y.)	June 26 Ω-Β on quadratic algebras, Koszul algebras (J.)	June 27 exterior-symmetric acyclicity, generating series (Y.)	June 28 inhomogeneous quadratic algebra (Part I) (J.)	June 29 inhomogeneous quadratic algebra (Part II) (Y.)
  July 2 S-module, (J.) Schur functor	July 3 algebraic operad, (Y.) algebra over operad	July 4 HOLIDAY (No talk today)	July 5 classical/partial definitions, Hopf operad (J.)	July 6 constructions over operads (Y.)
  July 9 rest day (no talk today)	July 10 free operad: combinatorical approach (Ben.)	July 11 another free construction (J.)	July 12 still another free construction, types of algebra (Y.)	July 13 cooperad (J.)
  July 16 cooperad II, ns operad (Y.)	July 17 infinitesimal composition, dg S-module (J.)	July 18 dg operad (Y.)	July 19 dg cooperad (J.)	July 20 Ginzburg Kapranov Koszul duality (Ben.)
  July 23 operadic twisting morphism (Y.)	July 24 operadic bar cobar construction (J.)	July 25 Koszul dual (co)operad of quadratic data (Y.)	July 26 bar cobar construction on quadratic (co)operad (J.)	July 27 generating series; examples of duality(Y.)
  July 30 to August 3 (Mad Week): The talkers are busy moving their apartments or grading final exams.

  May 5 - 10

  NCGOA Spring Institute 2012: Conformal Field Theory and von Neumann Algebras (@Vanderbilt University)

• Spring 2012

  Subject	Title	Instructor	Exams
  MA 598	Algebraic Structures in Topology	Ralph M. Kaufmann	Advanced Topic Exam :P
  GER 603	Second Course to Establish Reading Knowledge	Marc Rathmann	Foreign Language Exam :P
  MATH	K. Group Seminar	Ralph M. Kaufmann
  MATH	4-Manifold Seminar	Urs Fuchs (organizer)
  MATH	Topology Seminar	Speakers
  PHYS 660	Quantum Mechanics I	Sherwin T. Love
  PHYS 675	General Relativity	Sergei Khlebnikov
  AD 113	Basic Drawing [sample]	Jong-un Choi

• Fall 2011

  Subject	Title	Instructor
  MA 554	Linear Algebra	Saugata Basu
  MA 557	Commutative Algebra	William Heinzer
  MA 697	Cobordisms, Genera, Characteristic Classes and Topological K-Theory	Ralph M. Kaufmann
  MA 1076	K-group' Seminar	Ralph M. Kaufmann
  MATH	Topology Seminar	Speakers
  MATH	A∞ Seminar	Urs Fuchs (organizer)
  GER 601	First Course To Establish Reading Knowledge	Jeffrey Turco

  ' This is a coined word.

• Summer 2011 (July 25 ~ August 12)

  2011 IMA PI Summer Graduate Program: Topological Methods in Complex Systems (@UPenn)

  Title	Instructor
  Topological Methods in Networked Engineering Systems	Robert Ghrist
  Topological Methods in Materials Science	Randall Kamien, Robert MacPherson
  Topological Methods in Biological Dynamical Systems	Konstantin Mischaikow
  Guest Lectures	Invited Speakers

• Spring 2011

  Subject	Title	Instructor
  MA 553	Introduction to Abstract Algebra	David Goldberg
  MA 572	Introduction to Algebraic Topology	Ralph M. Kaufmann
  MA 598	Introduction to Morse Theory	Lee Yi-Jen

• Fall 2010

  Subject	Title	Instructor	Q.E.
  MA 519	Introduction to Probability	Burgess Davis	:P
  MA 523	Introduction to Partial Differential Equations	Daniel Phillips	:P
  MA 571	Introduction to Topology (sit-in)	James McClure	:X
  MA 598	Abstract Algebra (MA503) Problem Session	Paolo Mantero
  MA 598	Bridge to Research Seminar	Various Speakers
  ENGL 470	Theory of Rhetoric and Composition [Paper 1] [Paper 2] [Paper 3]	Jennifer L. Bay

• Summer 2010

  Subject	Title	Instructor
  MA 598	Analysis (Qual. Prep.)	Philip John Hackney
  MA 598	Complex (Qual. Prep.)

• Spring 2010

  Subject	Title	Instructor	Q.E.
  MA 530	Functions of a Complex Variable I	Steven R. Bell	:P
  MA 544	Real Analysis and Measure Theory	Lawrence G. Brown	:P
  GER 101	German Level I	Sayali S. Godbole

• Fall 2009

  Subject	Title	Instructor
  MA 503	Abstract Algebra	Bernd Ulrich
  MA 562	Introduction to Differential Topology and Geometry	Peter Albers
  MA 571	Introduction to Topology	Ralph M. Kaufmann