Raj Gandhi


Email
rg593 "at" cornell.edu
Github
github.com/RajGandhi97
Address
Department of Mathematics
Malott Hall, Cornell University
301 Tower Rd, Ithaca, NY 14853, USA

I am a second-year Ph.D. student studying pure mathematics at Cornell University. My advisor is Allen Knutson.

In 2021, I recieved a M.Sc. degree in mathematics from the Univerity of Ottawa. My M.Sc. advisors were Alistair Savage and Kirill Zainoulline. In 2019, I received a B.Sc. in physics-mathematics from the University of Ottawa.

Publications/Preprints

  1. Raj Gandhi. (Joint with Alistair Savage and Kirill Zainoulline). Diagrammatics for F4. Bulletin of the London Mathematical Society. (2022). DOI. Preprint.

  2. Raj Gandhi. The formal affine Demazure algebra and real finite reflection groups. Algebras and Representation Theory. (2022). DOI. Preprint.

  3. Raj Gandhi. Decomposing Frobenius Heisenberg categories. Journal of Algebra and its Applications. (2020). Vol. 19. No. 5. Pp. 2050094-1-2050094-31. DOI. Preprint.
M.Sc. thesis
  • Raj Gandhi. Oriented cohomology rings of the semisimple linear algebraic groups of ranks 1 and 2. (2021). University of Ottawa library. URL. Code.

Posters
  1. Raj Gandhi. The ring of twisted differential operators of reflection group I2(5). (2016). Presented at the 2016 University of Ottawa UROP symposium. University of Ottawa library. URL.

Software
  1. Raj Gandhi. Oriented cohomology rings of the semisimple linear algebraic groups of ranks 1 and 2. (Last updated: 2021).

  2. Raj Gandhi. Modularity and Calabi-Yau threefolds. (Last updated: 2020).

Expository notes

The following notes give expository accounts of results that appear to be "well-known" in the literature. However, I have not been able to find proofs of these results anywhere, so I have written up the proofs myself.
  1. Raj Gandhi. Line bundles on complete flag varieties are independent of central isogeny class. Notes.

University of Ottawa: Teaching assistant
  1. MAT 1320X: Calculus I. Recitation instructor. (Summer 2021).

  2. MAT 2355: Introduction to Geometry. Grader. (Winter 2021).

  3. MAT 1348: Discrete Mathematics for Computing. Grader and recitation instructor. (Winter 2021).

  4. MAT 2141: Honours Linear Algebra. Grader. (Fall 2020).

  5. MAT 1341: Introduction to Linear Algebra. Grader and recitation instructor. (Fall 2020).

  6. MAT 1332: Calculus II for the Life Sciences. Grader and recitation instructor. (Fall 2020).

  7. MAT 1300X: Mathematical Methods I. Recitation instructor. (Summer 2020).

  8. MAT 1320: Calculus I. Grader and recitation instructor. (Winter 2020).

  9. MAT 1348: Discrete Mathematics for Computing. Grader and recitation instructor. (Winter 2020).

  10. MAT 1362: Mathematical Reasoning and Proofs Grader. (Winter 2020).

  11. MAT 1362: Mathematical Reasoning and Proofs. Grader and recitation instructor. (Fall 2019).

Invited talks
  1. The formal group ring and real finite reflection groups. Algebra and Geometry of Homogeneous Spaces. University of Ottawa. June 3, 2021. Abstract. Slides. Video.


Undergraduate talks
  1. The Heisenberg category. Student summer seminar. University of Ottawa. August 17, 2018. Slides.

  2. Twisted formal group algebras. Summer student seminar. University of Ottawa. August 16, 2017. Slides.

  3. Finite reflection groups. Junior algebra seminar. University of Ottawa. September 8, 2016. Slides.

Attended

  1. Route 81. Queen's University. September 24, 2022.

  2. The Los Angeles Workshop on Representations and Geometry. University of Southern California. June 6 - June 10, 2022.

  3. Cornell Topology Festival. Cornell University. May 6 - May 8, 2022.

  4. Derived Categories and Moduli Spaces. Cornell University. April 29 - May 1, 2022.

Organized

  1. What is ...? seminar. (Co-organized with Matej Neumann). Cornell University. Fall 2022.

GRASSHOPR

The GRASSHOPR program at Cornell University provides graduate students with the opportunity to create a mini-course (3-5 lessons) and teach the course at a local elementary, middle, or high school in Ithaca, NY.

2022
Between March 4-March 11, 2022, Aria Beaupré and I taught a mini-course at Namasté Montessori School in Ithaca, NY. The course was called "The Mathematics of Decision Making," and our target audience was Grade 4-Grade 6 students. The mini-course consisted of four lessons. The first three lessons were 1 hour long, while the last lesson was 2 hours long. Topics covered included positional voting systems, approval voting, pairwise voting, and strategic voting. Here are the worksheets that we prepared for each of the four lessons: Lesson 1. Lesson 2. Lesson 3. Lesson 4.

Directed reading program

The directed reading program is organized by the Cornell mathematics department. The program pairs undergraduate students studying mathematics at Cornell (mentees) with mathematics Ph.D. students at Cornell (mentors). The mentee and mentor together read a mathematics textbook of mutual interest for one semester.

Fall 2022
My mentee and I are currently reading "Arithmetic of Elliptic Curves" by Joseph H. Silverman.