Spring 2024

Geometry III/Introduction to Geometry III.
Perspectives in Mathematical Sciences.

Fall 2023

Topic in Algebraic Topology.

Spring 2023

Algebra I/Introduction to Algebra V.
Perspectives in Mathematical Sciences.

Fall 2022

Topic in Algebraic Topology.

Spring 2022

Algebra III/Introduction to Algebra III.
Perspectives in Mathematical Sciences.

Fall 2021

Topic in Algebraic Topology.

Spring 2021

Algebra I/Introduction to Algebra V.
Perspectives in Mathematical Sciences.

Fall 2020

Topic in Algebraic Topology.

Spring 2020

Algebra III/Introduction to Algebra III.
Perspectives in Mathematical Sciences.

Fall 2019

Topic in Algebraic Topology.

Spring 2019

Algebra I/Introduction to Algebra.
Perspectives in Mathematical Sciences.

Fall 2018

Topic in Algebraic Topology.

Spring 2018

Algebra III/Introduction to Algebra.
Perspectives in Mathematical Sciences.

Fall 2017

Linear Algebra.

Fall 2016

Linear Algebra.

Fall 2015

Linear Algebra.
Reading course on topological Hochschild homology.

Spring 2015

Arithmetic Geometry II.

Fall 2014

Geometry II.
Linear Algebra II.

Fall 2013

Geometry II.
Linear Algebra II.
Perspectives in Mathematical Sciences.

Spring 2013

Arithmetic Geometry I.
Undergraduate seminar.

Fall 2012

Linear Algebra (Tuesday).
Linear Algebra (Wednesday).
Geometry IV.

Fall 2011

Linear Algebra II.
Perspectives in Mathematical Sciences: Scissor's congruence groups.

Spring 2011

Linear Algebra I.
Geometry IV.

Fall 2010

Linear Algebra II.
Seminar on Algebraic Topology.
Undergraduate Seminar.

Spring 2010

Linear Algebra I.
Perspectives in Mathematical Sciences.
Seminar on Algebraic Topology.
Undergraduate Seminar.

Fall 2009

Algebraic Topology.
Perspectives in Mathematical Sciences.
Seminar on K-theory.

Spring 2009

Geometry IV.
Seminar on K-theory.
Topology in the factory: A lecture at NHK Bunka Center.

Fall 2008

Algebraic Topology II.
Applied Mathematics I.
Vector fields on spheres: A lecture at NHK Bunka Center.

Spring 2008

Algebraic Topology I.

Fall 2007

18.022: Multivariable calculus.
Vector fields on spheres: A lecture in the Undergraduate Mathematics Association.

Spring 2007

Nagoya: Algebraic Topology.

Fall 2006

18.022: Multivariable calculus.

Spring 2006

Nagoya: Algebraic Topology.

Fall 2005

18.917: Topics in Algebraic Topology - Algebraic cycles and the de Rham-Witt complex.

Spring 2005

Nagoya: Algebraic Topology.

Spring 2004

18.917: Topics in Algebraic Topology - Topological Hochschild homology and the de Rham-Witt complex.
Paris: Topological Hochschild homology and the de Rham-Witt complex - Course given at Institut Henri Poincare.

Fall 2003

18.099: Analysis I Tandem.

Spring 2003

18.906: Algebraic Topology II.
18.904: Seminar in Topology.

Spring 2002

18.917: Topics in Algebraic Topology - An introduction to higher algebraic K-theory.

Fall 2001

18.101: Analysis II.

Spring 2001

18.727: Algebraic Geometry - An introduction to schemes and cohomology of sheaves.

Fall 2000

18.917: Topics in Algebraic Topology - The proof of the semi-stable conjecture of Fontaine-Jannsen.

Spring 2000

18.100: Analysis I.

Spring 1999

18.100: Analysis I.

Spring 1998

Princeton: MAT104.

Fall 1998

Princeton: MAT104.

Spring 1997

18.100: Analysis I.

Fall 1996

18.715: Topics in Homological Algebra - Topological cyclic homology.

Spring 1996

18.024: Multivariable Calculus with Theory.