Teaching

Fall 2024

  • Math 481: Knot Theory
  • Math 790: Topological Data Analysis

    • Graduate courses taught

    • Math 797MC: Mapping Class Groups, Spring 2017.
    • Math 797LD: Low-dimensional Topology, UMass Amherst, Spring 2015 & Spring 2022.
    • Math 705: Symplectic Topology, UMass Amherst, Spring 2018 & Spring 2020.
    • Math 672: Algebraic Topology, Umass Amherst, Spring 2019 & Spring 2021.
    • Math 671: Topology, Umass Amherst, Fall 2015, Fall 2018, Fall 2020.
    • Constructions of smooth and symplectic 4-manifolds (reading course), UMass Amherst, Fall 2021.
    • Low dimensional geometry and topology (reading course), UMass Amherst, Spring 2021.
    • Math 796: Symplectic and contact geometry (reading course), UMass Amherst, Fall 2014.
    • Math 696: Morse theory and low dimensional topology (reading course), UMass Amherst, Spring 2014.
    • An excursion to the wild world of 4-manifolds (mini-course), Bonn International Graduate School, Fall 2012.
    • Surgery on compact 3 and 4-manifolds (mini-course), Bonn International Graduate School, Fall 2011.
    • Algebraic Topology II, Brandeis, Spring 2011.
    • Combinatorial knot Floer homology (reading course), Brandeis, Fall 2010.
    • Lefschetz fibrations and mapping class groups (reading course), Brandeis, Fall 2009 & Spring 2010.
    • Algebraic Topology I, Brandeis, Fall 2008, Fall 2010.
    • Topics in Topology: Morse Theory and Kirby Calculus, Brandeis, Spring 2009.

    Undergraduate courses taught

    • Math 481: Knot Theory, UMass Amherst, Fall 2021, Fall 2023.
    • Math 411: Abstract Algebra I, UMass Amherst, Fall 2017, Spring 2019, Fall 2019, Fall 2020.
    • Math 461: Affine and Projective Geometry, UMass Amherst, Fall 2014, Fall 2015.
    • Math 235H: Honors Linear Algebra, UMass Amherst, Fall 2023.
    • Math 235: Linear Algebra, UMass Amherst, Spring 2014, Spring 2016 (course chair), Spring 2017, Fall 2017, Fall 2021.
    • Math 233H: Honors Multivariate Calculus, UMass Amherst, Fall 2019.
    • Math 233: Multivarite Calculus, UMass Amherst, Fall 2013.
    • Calculus of Several Variables, Brandeis, Spring 2009, Fall 2010, Spring 2011.
    • Differential Topology, Brandeis, Fall 2009.
    • Introduction to Topology, Brandeis, Fall 2009.
    • Differential Equations, Brandeis, Fall 2008, Spring 2010.
    • Ordinary Differential Equations, Columbia University, Fall 2007.
    • Multivariable Calculus, MSU, Spring 2006.
    • Business Calculus, MSU, Fall 2002 - Spring 2006.
    • Calculus 1 and 2, METU, Fall 2000 - Spring 2002.


      I endorse Federico Ardila's axioms:

      1. Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
      2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
      3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
      4. Every student deserves to be treated with dignity and respect.