Anand Patel

Email: anand (dot) my last name (at) okstate (dot) edu

publications and preprints




Orbits of linear series on the projective line, with A. Deopurkar. 

arXiv (2022) 


Lines highly tangent to a hypersurface, with E. Riedl, G. Smith, and D. Tseng.

arXiv. (2022) Submitted.

Commentary 


Equivariant degenerations of plane curve orbits, with  M. Lee and D. Tseng. 

Transactions of the American Mathematical Society, 376, no. 10 (2023): 6799-6843.

Commentary 


A universal formula for counting cubic surfaces, with A. Deopurkar and D. Tseng. 

Submitted.

Commentary 


Moduli of linear slices of high degree smooth hypersurfaces, with E. Riedl and D. Tseng. 

Accepted, Algebra & Number Theory (2023).

Commentary 


 Ramification divisors of general projections, with A. Deopurkar and E. Duryev. 

 Documenta Mathematica 25 (2020): 1917-1952.

Commentary 


The rank two p-curvature conjecture on generic curves, with A. Shankar and J. P. Whang. 

Advances in Mathematics 386 (2021): 107800. 

Commentary 


Orbits in (P^r)^n and equivariant quantum cohomology, with M. Lee, H. Spink, D. Tseng.  

Advances in Mathematics 362 (2020): 106951.

Commentary 


Inflectionary invariants of isolated complete intersection curve singularities, with A. Swaminathan.  

Memoirs of the American Mathematical Society vol. 282, no. 1397

Commentary 


Independence of Boundary Divisors in the Space of Admissible Covers  

Proceedings of the American Mathematical Society  148, no. 4 (2020): 1383-1388 

Commentary 


Syzygy divisors on Hurwitz spaces, with A. Deopurkar.  

Contemporary Mathematics  (2018) vol. 703, 209–222

Commentary 


Interpolation Problems: Del Pezzo Surfaces, with  A. Landesman.  

Annali Scuola Normale Superiore - Classe di Scienze (2019): 1389-1428.

Commentary 


Vector bundles and finite covers, with A. Deopurkar. 

Forum of Mathematics, Sigma 10 (2022). Cambridge University Press: e40. 

Commentary 


Extremal effective divisors of Brill-Noether and Gieseker-Petri type in M_1,n, with D.  Chen.   

Advances in Geometry 16 (2016), no. 2, 231-242 

Commentary 


Special codimension one loci in Hurwitz spaces, 2015. 


Invariants of a general branched cover of P^1, with G. Bujokas. 

International Mathematics Research Notices  2021, no. 6 (2021): 4564-4604.

Commentary 


The Picard rank conjecture for the Hurwitz spaces of degree up to five, with A. Deopurkar.  

Algebra & Number Theory (2015)  9(2):459–492

Commentary 


Sharp slope bounds for sweeping families of trigonal curves,  with A. Deopurkar.   

Mathematical Research Letters  (2013) 20(3):868–884 

Commentary