Teaching
See my paper, joint with Mikhail Khovanov and Victor Ostrik, on how such map could be defined and why!
United States Naval Academy
Annapolis, MD USA
Spring 2024 SM208 Data Science for Decision Makers (2 sections, 6 hours of teaching/week), instructor.
The Course Coordinator redesigned this course in the summer of 2023, and I had no control over the daily lecture notes or any other aspect of the course.
Student Evaluations: 3rd period
Student Evaluations: 4th period
Fall 2023 SM121 Calculus I (3 sections, 12 hours of teaching/week), instructor.
Student Evaluations: 2nd period
Student Evaluations: 3rd period
Student Evaluations: 4th period
Spring 2023 SM208 Data Science for Decision Makers (2 sections, 6 hours of teaching/week), instructor.
Student Evaluations: 9th period
Student Evaluations: 10th period (ITSD decided to upgrade and shut down the internet in the afternoon so my students could not do evaluations during class, which resulted in only half of the midshipmen doing evaluations on their own time that evening)
Fall 2022 SM212 Differential Equations (3 sections, 12 hours of teaching/week), instructor.
Student Evaluations: 3rd period
Student Evaluations: 4th period
Student Evaluations: 5th period
Spring 2022 SM208 Data Science for Decision Makers (2 sections, 6 hours of teaching/week), instructor.
Student Evaluations: 5th period
Student Evaluations: 6th period
Fall 2021 SM362 Modern Algebra (1 section, 3 hours/week), instructor.
Fall 2021 SM221P Calculus III with vector fields for plebes (freshmen) (2 sections, 8 hours/week), instructor.
Fall 2021 SM485 Research/Reading Course (1 section, 3 hours/week), research adviser.
Focus on Algebraic Topology and Quantum Field Theory.
Student Evaluation: 5th period
Spring 2021 SM221 Calculus III with vector fields (2 sections, 4 classrooms, 8 hours/week), instructor.
Student Evaluations: 5th period, classroom CH155 (forgot to give my students time during class to complete this, so only a handful of feedback received)
Student Evaluations: 5th period, classroom CH157 (forgot to give my students time during class to complete this, so only a handful of feedback received)
Student Evaluations: 6th period, classroom CH155 (forgot to give my students time during class to complete this, so only a handful of feedback received)
Student Evaluations: 6th period, classroom CH157 (forgot to give my students time during class to complete this, so only a handful of feedback received)
Spring 2021 SM486 Research/Reading Course (1 section, 3 hours/week), research adviser.
Focus on Gauge Theory, Algebraic Geometry, Representation Theory and Physics.
Student Evaluation: 4th period
Fall 2020 SM122 Calculus II (2 sections, 4 classrooms, 8 hours/week), instructor.
Student Evaluations: 1st period, classroom CH107
Student Evaluations: 1st period, classroom CH117
Student Evaluations: 2nd period, classroom CH107
Student Evaluations: 2nd period, classroom CH117
Fall 2020 (1 section, 3 hours/week), informal research adviser.
United States Military Academy
West Point, NY USA
Fall 2019 MA206 Probability and Statistics (4 sections, 12 hours of teaching/week), instructor.
Section Evaluations: Section 1 bar graphs
Student Evaluations: Section 2 bar graphs
Student Evaluations: Section 3 bar graphs
Student Evaluations: Section 4 bar graphs
Fall 2018 MA206 Probability and Statistics (4 sections, 12 hours of teaching/week), instructor.
Maymester 2018 MA206 Probability and Statistics (1 section, 20 hours of teaching/week), instructor.
Fall 2017 MA487 Mathematical Analysis II (1 section, 3 hours/week), instructor & course director.
Fall 2017 MA206 Probability and Statistics (2 sections, 6 hours/week), instructor.
Spring 2017 MA255 Advanced Multivariable Calculus (3 sections, 13.5 hours/week), instructor.
Spring 2017 MA499 Senior Honors Thesis: Paper & Defense (1 section, 3 hours/week), research adviser.
Fall 2016 MA383 A Transition to Advanced Mathematics (1 section, 3 hours/week), instructor & course director.
We will use Mathematical Proofs by Chartrand, Polimeni, and Zhang.
Topics in algebra, geometry, and topology will be discussed.
Fall 2016 MA383 A Transition to Advanced Mathematics (1 section, 3 hours/week), independent study director.
Fall 2016 MA206 Probability and Statistics (1 section, 3 hours/week), instructor.
Fall 2016 MA498 Senior Honors Thesis: Research & Proposal (1 section, 3 hours/week), research adviser.
Maymester 2016 MA206 Probability and Statistics (1 section, 20 hours/week), instructor.
Spring 2016 MA206 Probability and Statistics (4 sections, 12 hours/week), instructor.
We will use R, Excel, and Mathematica on a regular basis.
Applications toward geometry & measure theory will be discussed.
Spring 2016 MA499 Senior Honors Thesis: Paper & Defense (1 section, 3 hours/week), research adviser.
Fall 2015 MA103 Discrete Dynamical Systems & Introduction to Calculus (3 sections, 13.5 hours/week), instructor.
Robotics lab demonstrations, with applications in physics, engineering, and graph theory (network centrality, cryptology, Markov chains).
Use Excel and Mathematica to develop fundamental skills to solve interdisciplinary (operations research) problems.
Fall 2015 MA498 Senior Honors Thesis: Research & Proposal (1 section, 3 hours/week), research adviser.
University of Illinois at Urbana-Champaign
Urbana, il USA
Fall 2012 Math 241 Calculus III: Multivariable Calculus, multiple discussion sections.
Fall 2011 Math 220 Calculus & Mathematica: Single Variable Calculus, instructor.
Spring 2011 Math 231 Calculus II: Analytic Geometry, discussion section.
Fall 2010 Math 125 Linear Algebra, instructor for a large lecture (190 students).
Fall 2010 Math 125 Linear Algebra, course director (4 large sections, 850 students).
Spring 2010 Math 415 Applied Linear Algebra, grader for multiple sections.
Fall 2009 Math 241 Merit Calculus III: Multivariable Calculus, multiple discussion sections.
Spring 2009 Math 241 Merit Calculus III: Multivariable Calculus, multiple discussion sections.
Fall 2008 Math 241 Calculus III: Multivariable Calculus, multiple discussion sections.
Summer 2008 Math 347 Problem Solving and Introduction to Proofs, grader and led discussions.
Spring 2008 Math 231 Calculus II: Sequences and Series, tutor for 4 evenings a week.
Spring 2008 Math 125 Linear Algebra, grader for multiple sections.
Fall 2007 Math 234 Business Calculus I: Single Variable Calculus, multiple discussion sections.
Math 415 Applied Linear Algebra, tutor.
Math 241 Calculus III: Multivariable Calculus, tutor.
Math 231 Calculus II: Analytic Geometry, tutor.
Math 221 Calculus I: First Course in Calculus and Analytic Geometry, tutor.
Math 220 Single Variable Calculus, tutor.
Math 115 Preparation for Calculus, tutor.
Math 362/ECE 313 Probability with Engineering Applications, tutor.
Phys 508 Mathematical Methods in Physics, tutor.
High school (proof based) geometry, tutor.
Advanced Placement BC Calculus, tutor.
University of Birmingham
Birmingham, England
MSM1Db Applicable Mathematics B, course assistant.
MSM1Da Applicable Mathematics A, course assistant.
Drop-in tutoring for all courses, two days a week.
MSM1Xa The Impact of Mathematics A, course assistant.
MSM2Ca Linear Algebra A, course assistant.
MSM1Ab Mathematical Physics B, course assistant.
MSM2Bb Real and Complex Variable Theory B, course assistant.
MSM2O2b Statistics II B, course assistant.
University of GeorgiA
athens, GA USA
Math 5210/7210 Euclidean and non-Euclidean Geometry, course assistant.
Phys 1112 Introduction to Electricity and Magnetism II, lab assistant.
Math 2700 Partial Differential Equations, grader.
The one real goal of education is to leave a person asking questions.
Max Beerbohm