CV
Senior Lecturer, Department of Applied Mathematics & Statistics, Johns Hopkins University.
email: apurva.nakade@jhu.edu
website: apurvanakade.github.io
Experience
Senior Lecturer, Johns Hopkins University, 2023-Present
Postdoctoral Lecturer, Northwestern University, 2021-2023
Postdoctoral Fellow, University of Western Ontario, 2019-2021
Ph.D. in Mathematics, Johns Hopkins University, 2019
Academic Coordinator, Canada/USA Mathcamp, 2019
Mentor, Canada/USA Mathcamp, 2017-2020
M.Sc. in Mathematics, Chennai Mathematical Institute, 2013
Exotic Derivatives Trader, Nomura Capital India Pvt Ltd, 2010
B.Tech. in Computer Science & Engineering, IIT Kanpur, 2010
Teaching
Instructor, JHU AMS
- Graph theory, Spring 2024
- Linear Algebra and Differential Equations, Spring 2024
- Discrete Math, Fall 2023
Instructor, Northwestern
- Elementary Differential Equations, Spring 2023
- MENU Linear Algebra and Multivariable Calculus, (Coordinator) 2022-23
- Introduction to Optimization, Winter, Spring 2022
- Single Variable Calculus, Fall 2021
- MENU Linear Algebra and Multivariable Calculus, 2021-22
- Foundations of Mathematics, Winter 2023
- Elementary Differential Equations, Spring 2023
Instructor, UWO
- Algebraic Topology (graduate level), Winter 2021
- Topology Bootcamp, Fall 2020
- Discrete Structures for Engineering, Fall 2020
- Calculus II for Mathematical and Physical Sciences, Winter 2020
- Calculus I for Mathematical and Physical Sciences, Fall 2019
- Topics in Category Theory, Fall 2019
Instructor, JHU
- Honors Single Variable Calculus, Fall 2018, 2017
- Symmetries & Polynomials, Intersession 2018
- Hitchhikers Guide to Algebraic Topology, Intersession 2017
- Differential Equations with Applications, Summer 2017, 2015
- Online Linear Algebra, Summer 2014
Academic Co-coordinator, Canada/USA Mathcamp
- Planned the five week academic schedule
- Part of the mentor hiring committee
- Invited visiting speakers
Mentor/Staff, Canada/USA Mathcamp
- Designed and taught a variety of undergraduate-level courses
- Was residential and academic advisor at camp
- Part of the mentor hiring committee - Taught a course at Mathcamp 2020
- Contributed to Lean’s surreal numbers math library
- Contributed to Lean’s convex optimization math library
Projects
Open Educational Resources Textbook for Linear Algebra, NU
- Added WeBWorK problems to a Linear Algebra PreTeXt OER textbook
Course Design: Introduction to Optimization, UWO
- Restructured the course to include applications and modeling
- Created course notes in RMarkdown
- Created Excel worksheet assignments for modeling scenarios
Course Design: Discrete Structures for Engineering, UWO
- Adapted the course for online asynchronous delivery
- Helped code (in a team) hundreds of problems on WeBWork
- Made short weekly video lectures to support the course text
- Maintained an active discussion forum on Piazza
- Gave a talk about the course design at a conference on E-Assessment in Mathematical Sciences
Course Design: Honors Single Variable Course (IBL), JHU
- Designed and taught a semester long course structured in a flipped classroom format for two semesters
Course Design: Intersession courses, JHU
- Designed and taught a 2-week course titled Symmetries & Polynomials introducing Galois theory to non-math majors
- Designed and taught a 2-week course Hitchhiker’s Guide to Algebraic Topology introducing algebraic topology to non-math majors
Course Design: Canada/USA Mathcamp courses
- Designed and taught several week-long math courses to advanced highschool students
- Course topics: Theorem proving in Lean, Visualizing 3-manifolds, Riemann surfaces, Crash Course on Linear Algebra, Covering Spaces, Cohomology etc.
Papers
String structures, 2-group bundles, and a categorification of the Freed-Quinn line bundle arXiv:2110.07571, joint with D. Berwick-Evans, E. Cliff, L. Murray, and E. Phillips, 2021
Manifold Calculus and the h-principle, The Journal of Homotopy and Related Structures, 2019
Effect of increasing the energy gap between the two lowest energy states on the mixing time of the Metropolis algorithm (with Somenath Biswas), Information Processing Letters, IPL4801 (2012.08.012), 2012
Grants & Awards
Open Educational Resources Faculty Grant (joint with Aaron Greicius), NU, 2022
William Kelso Morrill Award for Excellence in Mathematics, JHU, 2019
Finalist for the KSAS Excellence in Teaching Awards, JHU, 2019
Prof. Joel Dean Award for Excellence in Teaching in Mathematics, JHU, 2016
AMS Graduate Student Travel Grant, 2019
Mentoring
Supplementary Instructor for the Causeway Postbaccalaureate Program, NU, 2022
Directed Reading Program, UWO, JHU, 2017-2021
- Started DRP at UWO in Fall 2019
- Organizer and mentor for DRP at JHU and UWO Professional Development
Professional Development
MAA Project NExT Fellow, Brown’20 cohort, 2020
Teaching Academy Certification, JHU, 2019
Participated in several workshops by the Center of Teaching & Learning at UWO, 2019-2020
Participated in the MSRI Critical Issues in Mathematics Education Workshop, 2022
Participated in the MAA Modeling Inspiration for Differential Equations Workshop, 2022
Participated in online Mastery Grading Workshop, 2019
Attended the Science of Learning Symposium, JHU, 2014-2018
Conference Attended
United States Conference on Teaching Statistics, 2023
MSRI CIME Workshop, 2022
Project NExT at MAA Mathfest, Online, 2021
Lean for the curious mathematician, 2020
Spaces of Embeddings, BIRS, Banff, 2019
MSRI Summer School, Cortona, Italy, 2019
MRC Workshop, Providence RI, 2019
MIT Talbot Workshop, Austin TX, 2019
Workshop on Functor Calculus, Ohio State University, 2019
AMS Sectional Meeting, University of Hawaii, 2019
Arizona Winter School, Arizona State University, 2019
Joint Mathematical Meetings, Baltimore, 2019
Symplectic Geometry and Homotopy Theory, UCLA, 2018
MSRI Summer School, Fields Institute, Toronto, 2018
Graduate Student Conference, Temple University, 2018
AMS Sectional Meeting, UC Riverside, 2017
European Autumn School in Topology, Netherlands, 2017
Topology Festival, Cornell University, 2017
Georgia International Topology Conference, University of Georgia, 2017
Alpine Algebraic & Applied Topology Conference, Switzerland, 2016
WCATSS, University of Oregon, Eugene, 2016
GSTSC, Indiana University, Bloomington, 2016
Mid-Atlantic Topology Conference, Johns Hopkins University, 2016
Midwest Topology Seminar, Northwestern University, 2016
Geometry and Topology Conference, Lehigh University, 2015
Mid-Atlantic Topology Conference, University of Virginia, 2015
Midwest Topology Seminar, University of Illinois Chicago, 2015
Midwest Topology Seminar, Northwestern University, 2015
Modular invariants in Topology and Analysis, Regensburg, 2015
WCATSS on Field theories, UBC, 2015
Introductory Workshop on Algebraic Topology, MSRI, 2015
Joint Mathematical Meetings, Baltimore, 2015
Classification of Manifolds, NEHU, 2013
H-principle, Chennai Mathematical Institute, 2012
Groups and geometries, ISI, Bangalore, 2012
String Topology, Vivekananda University, 2012
Kervaire Invariant One, ISI, Kolkata, 2012
Number Theory workshop, Tezpur University, 2011
Lie algebras and their representations, CMI, 2011
Nurture camp, Institute of Mathematical Sciences, 2007
IMO, Slovenia, 2006
IMOTC, HBCSC, 2003-2006
Kishore Vaigyanik Protsahan Yojana (KVPY), 2005