Qiaochu Yuan

Office: 828 Evans Hall
Office Hours (Fall 2014): by appointment
Email: qchu[at]math[dot]berkeley[dot]edu

I am a third-year graduate student at the University of California, Berkeley. (Note that there is another graduate student of the same name here.) My advisor is David Nadler. I'm interested in the interplay between homotopy theory, quantum field theory, manifold topology, and higher category theory.

Talks

• Structure theory of real semisimple Lie groups, Branes and Representations Seminar, UC Berkeley, 3/6/2015.
• Clifford algebras and K-theory, xkcd Seminar, Stanford, 10/29/2014.
• Concrete interpretations of higher cohomology, GRASP Seminar, UC Berkeley, 10/10/2014.
• The index theorem for the Dirac operator (after Witten), Symplectic and Quantum Geometry Seminar, UC Berkeley, 10/8/2014.
• Examples of 3-manifolds, Low-Dimensional Topology and Differential Geometry Seminar, UC Berkeley, 9/12/2014.
• Introduction to groupoids, Student Geometry and Topology Seminar, UC Berkeley, 3/10/2014.
• Quantum field theory on finite graphs, GRASP Seminar, UC Berkeley, 2/14/2014.
• What is a groupoid?, Nadler Seminar, UC Berkeley, 2/13/2014.
• Prefactorization algebras, Seminar on Factorization Algebras in Quantum Field Theory, UC Berkeley, 2/5/2014.
• Koszul algebras and Koszul duality, Koszul Duality Seminar, UC Berkeley, 9/26/13.
• Homotopy limits and colimits, Pre-MSRI Semester Seminar, UC Berkeley, 9/24/13.
• Poisson algebras and deformation quantization, GRASP Seminar, UC Berkeley, 9/13/13.
• The Euler characteristic for dummies, Many Cheerful Facts Seminar, UC Berkeley, 4/2/13.
• Diagrammatic algebra and the representation theory of SU(2), GRASP Seminar, UC Berkeley, 10/5/12.

Classes, Seminars, and Conferences

Notes are unedited. Any errors introduced are mine.

Spring 2015:

• Geometric Representation Theory (Nadler).
• Math 290 Branes and Representations (Teleman).

Fall 2014:

• Mathematical Aspects of Six-Dimensional Quantum Field Theories. Notes (last updated 12/13/14)
• Math 290 Symplectic and Quantum Geometry (Teleman).

Summer 2014:

• West Coast Algebraic Topology Summer School: Topological Field Theories (Ayala, Blumberg, Francis, Freed, Gwilliam, Poirier, Schommer-Pries, Adem, Cohen, Sinha). Syllabus, notes and problem sets

Spring 2014:

• Math 290 Factorization Algebras in Quantum Field Theory (Gwilliam, Teichner).
• Math 276 Functorial Field Theories and Ring Spectra (Teichner).

Fall 2013:

• Pre-MSRI Semester Seminar (Peterson).
• Math 261B Lie Groups (Serganova). Notes (last updated 12/4/13, slightly incomplete)
• Math 274 Microlocal Geometry (Nadler). Notes (last updated 12/5/13)

Spring 2013:

• Math 208 C*-algebras (Rieffel). Notes (last updated 5/3/13)
• Math 239 Discrete Mathematics for the Life Sciences (Pachter). Notes (last updated 4/25/13, incomplete)
• Math 256B Algebraic Geometry (Nadler). Notes (last updated 4/25/13, incomplete)

Fall 2012:

• Math 253 Homological Algebra (Wodzicki). Notes (last updated 11/18/12)
• Math 274 The Geometry and Algebra of Curves on Surfaces (Thurston). Notes (last updated 1/14/13)
• Math 275 Quantum Field Theory (Reshetikhin). Notes (last updated 11/18/12)

Teaching

Spring 2014: Math 1B Calculus (Reshetikhin). Course website, section website (last updated 4/23/14)

Fall 2013: Math 1A Calculus (Steel). Course website, section website (last updated 12/10/13)

Online

MathOverflow
math.StackExchange

Annoying Precision

History

On December 6th, 2013, I passed my qualifying exam. Here is my syllabus and transcript.

In the summer of 2013 I was an instructor at the Summer Program for Applied Rationality and Cognition.

In the summer of 2012 I was a counselor at the Program in Mathematics for Young Scientists (PROMYS), where I had previously been a student in the summer of 2006.

I graduated from the Massachusetts Institute of Technology (B.Sc. in Mathematics) in February 2012. From September 2010 to April 2011 I also studied abroad at the University of Cambridge (Part II of the Mathematical Tripos) through the Cambridge-MIT Exchange.