Purdue
                  University

Ralph M. Kaufmann
Professor

Department of Mathematics
Purdue University

belltower_arial




Past teaching at Purdue

2007 Fall MATH 266 Ordinary Differential Equations Section webpage
2008 Spring MATH 572 Introduction in Algebraic Topology. Course webpage

Fall MATH 362 Topics in Vector Calculus Course Webpage.


MATH 598 Homological Algebra: Derived Categories Course Webpage.
2009 Spring MATH 598 Moduli Spaces & Stacks Course webpage

Fall
MATH 265
Linear Algebra
Section Webpage


MATH 571
Topology
Course webpage
2010
Spring
MATH 572
Introduction in Algebraic Topology. Course webpage
2011
Spring
MATH 266
Ordinary differential equations Section webpage


MATH 572
Intoduction in Algebraic Topology Course webpage

Fall
MATH 462
Elementary Differential Geometry Course webpage


MATH 697
Cobordisms, Genera, Characteristic
Classes and Toplogical K-Theory
Course webpage
2012
Spring
Math 572
Introduction to Algebraic Topology Course webpage

Fall
Math 571
Topology
Course webpage


Math 261 Multivariate Calculus

2013
Spring
Math 598
Homological Algebra
Course webpage
2014
Fall
Math 571
Topology
Course webpage


Math 598 Differential topology
Course webpage
2015
Spring
Math 598
Hopf Algebras in Topology, Geometry and Physics


Fall
Math 261
Multivariate Calculus (course coordinator)
Local page
2016
Fall
Math 261 Multivariate Calculus
Local page
2017
Spring
Math 572
Introduction to Algebraic Topology

Fall MA 261 Multivariate Calculus Local page
2018
Fall
MA 161
Caclculus I IMPACT



MA 599
Topological Data Analysis
Course webpage
2019
Spring
MA 162
Calculus II



MA 572
Introduction to Algebraic Topology Course webpage

Fall
MA 261
Multivariate Calculus Local page
2020
Spring
MA 572
Introduction to Algebraic Topology Course Webpage

Fall
MA 553
Abstract Algebra
Course Webpage


MA 598
Topology and its Applications Course Webpage
2021
Fall
MA 261 Multivariate Caclulus Local Webpage 


MA 598 Topological Data Analysis
2022
Spring
HONR 399 Quantum Computing Course Webpage 


MA 598 Differential Topology Course Webpage  

Fall
MA 511
Linear Algebra and Applications

2023
Spring
MA 511
Linear Algebra and Applications (in person + distance)


Fall
MA 571
Elementary Topology
Course webpage








Courses at UConn 

2004

Fall

Math 242 W History of Mathematics

2005

Spring

Math 321 Commutative algebra
Math 210 Multivariable Calculus


Fall 

Math 225 Differential Geometry
Math 321 Algebraic Geometry I

2006

Spring

Math 321 Algebraic Geometry II


Fall

Math 225: Differential Geometry

Math 337: Cobodisms, Genera, Hopf algebras and Operads

2007

Spring

Math 337 Toric Varieties





Course at IMPRS/BIGS Bonn

2003

Spring 

Introduction to Moduli Spaces of Curves