Teaching

Thesis supervisions

• Ehsan Kamalinejad, Ph.D. in Mathematics, expected May 2012, University of Toronto

• Marc Fortier, M.Sc. in Mathematics, December 2010, University of Toronto
  Thesis: "Convergence results for rearrangements: old and new"

• Florin Ciucu, Ph.D. in Computer Science (co-advised w. J. Liebeherr), August 2007, University of Virginia
  Thesis: "Scaling properties in the stochastic network calculus"

• Erin Valenti, Ph.D. in Mathematics, May 2006, University of Virginia
  Thesis: "On an infinite elasica: wellposedness of the initial-value problem and stability of solitary waves"

Invited lectures

• Rearrangement inequalities (IMDEA Jan. 2009; Napoli April 2009, MSRI August 2011).
  [Notes, Corrections]

Undergraduate research

• Geometric Inequalities (Student: Adrian Poon). Summer 2011.
• Partial Differential Equations (Student: Dan Ginsberg). Summer 2010, USRA Summer 2011.
• Rearrangement Inequalities (Student: Mustazee Rahman). USRA Summer 2010.
• Partial Differential Equations (Student: Weiwei Guo; supervised by M. Chugunova). USRA Summer 2009.
• Geometric Inequalities (Student: Greg Chambers). USRA Summer 2007, Summer 2008.
• The Russo-Seymour-Welsh Inequality (Student: Mu Cai). Summer 2006, UTEA Summer 2007.
• Yamabe flow of an asymmetric cigar (Student: Aaron Smith; main supervisor R. McCann). USRA Summer 2006.
• Inequalities in Percolation (Student: Oliver Cheng.) USRA Summer 2006.
• Modeling FRET in Protein Clusters (Student: Kunal Kathuria). REU Summer 2004.
• Minimal Spanning Trees (Student: Jonathan Handy). REU Summer 1999.

Courses at the University of Toronto

• MAT 224 Linear Algebra II. Winter 2006.
• MAT 257 Analysis II. Year 2005/06, 2006/07, 2007/08.
• APM 351 Differential Equations of Mathematical Physics. Year 2009/10, 2010/11, 2011/12.
• APM 446 / MAT 1508 Applied Nonlinear Equations. Winter 2007.

• MAT 495 / APM 496 Reading courses:
  Research on Thin Film Equations (Student: Dan Ginsberg). Fall 2010.
  Rearrangement Inequalities (Students: Sergei Sagatov, Nan Wu, Will Pazner). Fall 2010.
  Analysis (Student: Max Kaznady). Summer 2009.
  Geometric Inequalities (Student: Greg Chambers) 2007-08.
  Inequalities in Percolation (Student: Mu Cai) 2006-07.

• MAT 1000 / MAT 457 Real Analysis I. Fall 2011.
• MAT 1060 Partial Differential Equations I. Fall 2007, Fall 2009. [Old assignments: 1 2 3 4 5 6, Final Exam]
• MAT 1501 Calculus of Variations. Fall 2010.

• MAT 4000 Supervised Research Project:
  Topics in Probability (Student: Jia Ji). Summer 2011.
  Topics in Mathematical Biology (Student: Sarah Valley). Summer 2010.
  Stochastic Integration (Student: Nikita Perevalov). Summer 2006.
  

Courses at the University of Virginia

• MATH 132 Calculus II. Fall 2000.
• APMA 205 Calculus III. Fall 1998.
• APMA 206 Differential Equations. Spring 1999, Fall 1999.
• APMA 213 Ordinary Differential Equations. Spring 2003.
• APMA 310 Probability. Fall 2000, Fall 2001, Fall 2002, Fall 2003.
• MATH 311 Introduction to Mathematical Probability. Fall 1998.
• MATH 331 Basic Real Analysis. Spring 1999.

• MATH 493 Independent Study:
  Probability (Student: Rick Wampler). Spring 2003.
  A random protein clustering model (Student: Kunal Kathuria). Fall 2004.

• MATH 532 Introduction to Real Analysis II. Spring 2000.
• MATH 533 Advanced Multivariate Calculus. Spring 2004, Spring 2005.
• MATH 583 Distinguished Majors Seminar. Spring 2005.
• MATH 731 Real Analysis I. Fall 2004.
  
• MATH 732 Real Analysis II. Fall 2002.
• MATH 996 Independent Research (Optimal Transportation; Student: Rich Felker). Fall 2004.

• Teaching and Learning Seminars:
  Orthogonal Polynomials and Random Matrices (with Anastasia Ruzmaikina). Spring 2000.
  Bio/Math "brown bag" Seminar (with Mike Johnson). Spring-Fall 2000.
  Problems and Theorems in Analysis. Spring 2001.
  Sharp inequalities in Fourier Analysis (with Stefan Maurer). Fall 2001.