Skip to content

Commit

Permalink
Create index.md
Browse files Browse the repository at this point in the history
  • Loading branch information
lankp committed Dec 24, 2023
1 parent 1e34bb1 commit 1050dd7
Showing 1 changed file with 44 additions and 0 deletions.
44 changes: 44 additions & 0 deletions index.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,44 @@
My work falls into both landscapes of algebraic geometry and commutative algebra where I utilize the machinery
of derived categories to understand problems lying within these two subject matters. This direction
of research has interactions with singularity theory, and in essence the objective is to understand the behavior
through homological methods coming from derived categories. Broadly speaking, I am interested in
problems regarding the applications of derived categories in algebraic geometry and commutative algebra.

# Papers

"A note on generation and descent for derived categories of noncommutative schemes" joint with [Anirban Bhaduri](https://sc.edu/study/colleges_schools/artsandsciences/mathematics/our_people/directory/bhaduri_anirban.php) and [Souvik Dey](https://sites.google.com/view/souvikdey/research), [arxiv version](http://arxiv.org/abs/2312.02840)

"Descent conditions for strong generation in derived categories" [arxiv version](https://arxiv.org/abs/2308.08080), submitted

"Strong generation and (co)ghost index in module categories" joint with [Souvik Dey](https://sites.google.com/view/souvikdey/research) and [Ryo Takahashi](https://www.math.nagoya-u.ac.jp/~takahashi/)- [arxiv version](https://arxiv.org/abs/2307.13675), submitted

"High Frobenius Pushforwards generate the bounded derived category" joint work w/ [Matthew Ballard](https://www.matthewrobertballard.com/), [Srikanth B. Iyengar](https://www.math.utah.edu/~iyengar/), [Alapan Mukhopadhyay](http://www-personal.umich.edu/~alapanm/), and [Josh Pollitz](https://www.joshpollitz.com/) - [arxiv version](https://arxiv.org/abs/2303.18085), submitted

# Misc.

"Intrinsic Curvature For Schemes." [M.Sc. thesis](https://digitalrepository.unm.edu/math_etds/176) (2020).

# Talks (last two years)

AMS Special Session on Commutative Algebra and its Applications, Howard University, Washington, DC, April 2024

AMS Contributed Paper Session on Commutative Algebra and Related Topics at the 2024 Joint Mathematics Meetings, January 2024

Algebraic Geometry seminar, University of Georgia, October 2023

Syzygies and mirror symmetry worskhop, American Institute of Mathematics, September 2023

New Directions in Group Theory and Triangulated Categories, May 2023

Georgia Algebraic Geometry Symposium, University of Georgia, May 2023

Categorical methods in moduli theory, University of Pennsylvania, April 2023

AMS Special Session on Interactions between Noncommutative Ring Theory and Algebraic Geometry, Spring Central Sectional, April 2023

AMS Special Session on Recent Developments in Commutative Algebra, Southeast Sectional, March 2023

Algebraic Geometry seminar, University of Utah, September 2022

Algebraic Geometry & Singularity theory workshop, University of Washington, June 2022

0 comments on commit 1050dd7

Please sign in to comment.