Pramod N. Achar

main research teaching resources

VIR seminar

This ongoing Vertically Integrated Research seminar, jointly led with Daniel Sage (and formerly with Chris Bremer), includes undergraduate, graduate, and postdoctoral participants. From 2009 to 2016, this seminar was partially funded by LSU's VIGRE grant.

2016–2017

Hall algebras | resource

Spring 2016

Crystal bases | textbook

Fall 2015

Honeycombs, puzzles, and Littlewood–Richardson coefficients | resource

2014–2015

Young tableaux and Littlewood–Richardson coefficients | textbook | resource

2012–2013

Reflection groups and Soergel bimodules |

Spring 2012

Advanced topics in geometric representation theory

Fall 2011

Hitchin fibers and the fundamental lemma

2010–2011

Affine Springer fibers and the fundamental lemma | resources: 1 2 3

2009–2010

Equivariant cohomology and the geometric Satake equivalence | notes (by María Vega)

Graduate courses

Fall 2016

Math 7290 Algebraic Groups

syllabus | lecture notes: 1 2 | problem sets: 1 2 3 4 5

Fall 2015

Math 7260 Homological Algebra

syllabus | problem sets: 1 2 3 4

Spring 2015

Math 7290 Quiver Varieties

syllabus | lectures notes | problem sets: 1 2 worksheet 3 4

Spring 2014

Math 7260 Homological Algebra

syllabus | cheat sheet | problem sets: 1 2 3 4 5

Fall 2012

Math 7280 Topics in Commutative Algebra

Introduction to Sheaf Theory

syllabus | problem sets: 1 2 3

Spring 2012

Math 7211 Algebra II

syllabus

Spring 2011

Math 7999 Selected Readings in Mathematics

Étale Cohomology

Fall 2010

Math 7290 Seminar in Algebra and Number Theory

Introduction to Lie Theory

syllabus | problem sets: 1 2 3 4 5

Fall 2009

Math 7290 Seminar in Algebra and Number Theory

Representations of Finite-Dimensional Algebras

syllabus | problem sets: 1 2 3 4

Fall 2008

Math 7290 Seminar in Algebra and Number Theory

Algebraic Groups I

syllabus | problem sets: 1 2 3 4

Spring 2008

Math 7211 Algebra II

syllabus

Fall 2007

Math 7290 Seminar in Algebra and Number Theory

Lie Algebras

syllabus

Spring 2007

Math 7280 Topics in Commutative Algebra

Applications of Homological Algebra: Introduction to Perverse Sheaves

webpage | syllabus | problem sets: 1 2 3 4 5 6 7 8 9 10 11 12 | notes: 1 2 3 4 5 6 7 8 9 10

Fall 2005

Math 7290 Seminar in Algebra and Number Theory

Hecke Algebras and Reflection Groups

webpage | syllabus | problem sets: 1a 1b 2a 2b 3a 4 5

Undergraduate courses

Fall 2016

Math 4181 Elementary Number Theory

catalogue | syllabus

Spring 2016

Math 4153 Finite-Dimensional Vector Spaces

catalogue | syllabus

Spring 2015

Math 4171 Introduction to Graph Theory

catalogue | syllabus

Spring 2014

Math 4032 Advanced Calculus II

catalogue | syllabus

Spring 2013

Math 4032 Advanced Calculus II

catalogue | syllabus

Spring 2012

Math 4032 Advanced Calculus II

catalogue | syllabus

Spring 2011

Math 2020 Solving Discrete Problems

catalogue | syllabus | assignments | problem sets: 9 9b 11 12 | notes: 1 2

Fall 2009

Math 2057 Multidimensional Calculus

catalogue | syllabus

Fall 2008

Math 2058 Honors Multidimensional Calculus

catalogue | syllabus

Fall 2007

Math 4036 Complex Variables

catalogue | syllabus

Fall 2006

Math 1441 Calculus with Applications to Technology

catalogue | webpage | syllabus

Fall 2005

Math 1550 Calculus I

catalogue | webpage | syllabus

Spring 2005

Math 2090 Elementary Differential Equations and Linear Algebra

catalogue | webpage | syllabus

Fall 2004

Math 1550 Calculus I

catalogue | webpage | syllabus

Courses at the University of Chicago

Spring 2004 

Math 204 Analysis in Rn II

syllabus | problem sets: 1 2 3 4 5 6 7 8 9 10 | exams: 1 2 Final

 

Math 205 Analysis in Rn III

syllabus | problem sets: 1 2 3 4 5 6 7 8 9 10 | exams: 1 2 Final

Winter 2003 

Math 204 Analysis in Rn II

syllabus | problem sets: 1 2 3 4 5 6 7 8 9 10 | notes: 1 2

study guides: 1 2 Final | exams: 1 2 Final

Fall 2002 

Math 203 Analysis in Rn I

syllabus | problem sets: 1 2 3 4 5 6 7 8 9 10 | notes: 1 2 3 4 5

study guides: 1 2 Final | exams: 1 2 Final

Courses at the Massachusetts Institute of Technology

Fall 2000

18.014 Honors Calculus I (TA)

catalogue

Spring 2000

18.024 Honors Calculus II (ESG)

catalogue | webpage | syllabus | problem sets: 1 2 3 4 5 6 7 8 9 10 11 12

notes: 1 2 3 | exams: 1 2 3 4

Fall 1999

18.014 Honors Calculus I (ESG)

catalogue | problem sets: 1 2 3 4 5 6 7 8 9 10 11 | notes: 1 2 | exams: 1 2 3 4

 

18.03 Differential Equations (ESG)

catalogue | notes: 1 2 | exams: 1 2 3 4

Fall 1996

18.014 Honors Calculus I (TA)

catalogue

Spring 1996

18.03 Differential Equations (TA)

catalogue