## Summary

This page contains a complete list of the courses I have taught, a list of awards and recognition of my teaching and a summary of some of my other teaching experiences.

I am also involved with undergraduate research, special studies, honors theses and mentoring young mathematicians. Click here for more information.

**Interested in Graduate School in Mathematics?** Click here for more information.

## Courses at Washington & Lee.

Winter 2024

- Math 225 Bridges to Advanced Mathematics
- Math 343 Geometry: Calculus on Manifolds

All course information is found on Canvas.

Images: (left) Trefoil knot, (right) (4,3) torus knot. Both from Knotplot

**Previous courses**

- Math 101 Calculus I: Fall 2018, 2019, 2022.
- Math 102 Calculus II: Fall 2012, 2014, 2016, 2017, Winter 2013, 2015, 2020, 2022, 2023.
- Math 221(A) Multivariable Calculus: Fall 2012, 2013, 2017, 2021, 2023, Winter 2016.
- Math 222 Linear Algebra: Fall 2016, Winter 2018, 2023.
- Math 225 Bridges to Advanced Mathematics: Winter 2024
- Math 301 Fundamental Concepts of Mathematics: Spring 2015, 2017, 2019.
- Math 309 Probability: Fall 2018.
- Math 310 Mathematical Statistics: Winter 2019.
- Math 311 Real Analysis: Fall 2013, 2019, 2022.
- Math 341 Introduction to Topology: Fall 2014.
- Math 342 Modern Geometry: Winter 2013, 2019.
- Math 343 Geometry: Winter 2020, 2024, Fall 2021.
- Math 345 Calculus on Manifolds: Winter 2015, Winter 2018.
- Math 383 Topics in Mathematics – Knot Theory: Spring 2023.
- Math 391 Topics in Mathematics – Point Set Topology Fall 2023.
- Math 393 Topics in Geometry – Differential Topology: Winter 2022.
- Math 401 Math GRE prep course: Fall 2012, 2013, 2014, 2016, 2017, 2021.
- Math 401 Introduction to Knot Theory: Winter 2017.

## Previous Courses

**Smith College**

**Math 114**Calculus II (Fall 2007, 2008, and Spring 2008, 2012).**Math 211**Linear Algebra (Fall 2009 and Spring 2008, 2009, 2011).**Math 212**Multivariable Calculus (Fall 2008).**Math 225**Advanced Calculus (Spring 2009, 2011, 2012).**Math 342**Introduction to Topology (Fall 2007, 2009).**Math 342**Introduction to Differential Geometry (Fall 2011).**Math 343**Introduction to Differential Topology (Spring 2010).**Special Studies****Math 301**Research with undergraduates (Fall 2011)- Algebraic Topology (Spring 2011).
- Introduction to Algebraic Topology (Fall 2009).
- Minimum Distance Energy of Knots (Spring 2008).

**Harvard University**

**Math 139**Topics in Knot Theory (Spring 2007)**Math 134**Calculus on Manifolds (Fall 2004, Fall 2006)

Introduction to manifolds in real n-space, inverse and implicit function theorems, differential forms, the general version of Stokes’s Theorem, etc.**Math 25b**Honors Multivariable Calculus and Linear Algebra (Spring 2006)

This course is a continuation from Math 25a. Topics covered include real analysis, multivariable calculus, differential forms and Stokes’ Theorem.**Math 25a**Honors Multivariable Calculus and Linear Algebra (Fall 2005)

A rigorous treatment of linear algebra, point-set and metric topology. Emphasis placed on careful reasoning, and on learning to understand and construct proofs.**Math 21b**Linear Algebra (Spring 2005, Fall 2006)**Math 21a**Multivariable Calculus (Fall 2004)

**University of Illinois, Urbana-Champaign**

**Math 135**Calculus I (Spring 2000)**Math 130**Calculus II (Fall 1998, Spring 1999, Fall 1999)**Math 242**Multivariable Calculus (Fall 2000, Fall 2001, Fall 2002)

This was taught at**Unit One Allen Hall**, a program which provides students with a small liberal arts college environment within the wider community at the University of Illinois at Urbana-Champaign. For more information about Allen Hall click here.**C&M 242**Multivariable calculus (Spring 2001)

The third course in calculus and analytic geometry taught with active learning techniques using Calculus &*Mathematica*. Click here for more information.

**University of Sydney, Australia**

- Recitation instructor for an Introductory Linear Algebra course.
- Grader for Freshman Calculus courses, Introductory Topology course and for the correspondence program for the Australian Mathematics Olympiad Committee.
- I have also twice been a tutor at the Australian National Mathematics Summer School.

## Teaching Awards and Recognition

- Fall 2004
**CUE (Course Evaluation) guide**Harvard University. Received “special recognition for teaching abilities” for multivariable calculus. Recognition based on student evaluations. - Spring 2002
**LAS Award for Excellence in Undergraduate Teaching**University of Illinois, Urbana-Champaign. (Awarded to 6 out of 1000 Liberal Arts and Sciences College Teaching Assistants each year.) - May 2000c
**Mathematics Instructional Award**for excellence in teaching at the University of Illinois, Urbana-Champaign. - Placed on
**Incomplete List for Excellent Teachers**University of Illinois, Urbana-Champaign: Spring 1999, Fall 1999, Spring 2000, Fall 2000, Spring 2001, Fall 2001, Fall 2002. (Awarded to top 10% of instructors across the UIUC campus based on student evaluations of instructor effectiveness.)

## Other teaching experiences

- Jan. 2014 Attended an MAA mini-course on
*Teaching an applied topology course*lead by Colin Adams and Robert Franzosa. - Sept 2012 – May 2013
**Calculus subcommittee**for selecting a new calculus text, W&L. - May 2011 – June 2012
**Calculus Placement Tool,**responsibility for editing and maintaining the tool, and education in its use. Department of Mathematics, Smith College. - Fall 2011
**Chair**committee on text and curriculum for Calculus I. Dept. of Mathematics & Statistics, Smith College. - Spring 2011, Fall 2011
**Coordinator**of interdepartmental discussions on the curriculum, including updates on course changes, and coordinating course offerings. Dept. of Mathematics & Statistics, Smith College. - Spring 2010
**Calculus subcommittee**on Calculus II students, curriculum and text. Dept. of Mathematics & Statistics, Smith College. - July 2007-June 2010
**Steering Committee on the Curriculum,**included departmental survey on teaching & curriculum, and long term planning. Dept. of Mathematics & Statistics, Smith College. - Spring 2002
**Chair**Teaching Assistant Teaching Awards Committee, University of Illinois, Urbana-Champaign. - Spring 2001
**Student Representative**Teaching Assistant Teaching Awards Committee, University of Illinois, Urbana-Champaign. - Fall 2000 and Spring 2001
**Mentor**Teaching Assistant Training Program, University of Illinois, Urbana-Champaign. - Aug. 2000 and 2001
**Student Assistant**Teaching Assistant Orientation, University of Illinois, Urbana-Champaign.