Alicia Harper

Doctoral candidate in Mathematics (Brown University)


My name is Alicia, and I am broadly interested in algebraic geometry. I am finishing graduate school under Dan Abramovich at Brown University. My research interests include applications of destackification, semistable reduction of surface singularities, and (twisted) motivic integration.

 

Contact Information


Email : alicia_harper (at) brown (dot) edu

Website : aliciaharper.xyz

Address : Room 012, Kassar House, Brown University

PUBLICATIONS/PREPRINTS


(1) A bordered Legendrian contact algebra (with Mike Sullivan), Journal of Symplectic Geometry, Volume 12, Number 2 (2014), 237-255.

(2) Factorization for Stacks And Boundary Complexes, July 2017 (arxiv.org/abs/1706.07999)

LECTURE NOTES


[Math 90 - Fall 2017] Lecture 1

[Math 90 - Fall 2017] Lecture 2

[Math 90 - Fall 2017] Lecture 3

[Math 90 - Fall 2017] Lecture 4

[Math 90 - Fall 2017] Lecture 5

[Math 90 - Fall 2017] Lecture 6

[Math 90 - Fall 2017] Lecture 7

[Math 90 - Fall 2017] Lecture 8

[Math 90 - Fall 2017] Lecture 9

[Math 90 - Fall 2017] Lecture 10

[Math 90 - Fall 2017] Lecture 11

[Math 90 - Fall 2017] Lecture 12

[Math 90 - Fall 2017] Lecture 13

[Math 90 - Fall 2017] Lecture 14

[Math 90 - Fall 2017] Lecture 15

[Math 90 - Fall 2017] Lecture 16

Other things: Art, writing, etc


made at paint and vino during an event for graduate students at brown

some math related art: the first is inspired by various technical illustrations of weak approximation

a family of genus two algebraic curves with two marked points

this following is inspired by the tropicalization of an algebraic plane curve

here is an illustration of the rational double point singularity of type A and the Whitney umbrella singularity:

even more mathy: the following image illustrate the root stack construction in conjunction with a blow-up. see my paper on Factorization for Stacks and Boundary Complexes for an example of where and how such notions are used.

a painted version of the above image, createfor a poster session at AGNES in 2018

here was a birthday present i once drew: the great A'Tuin and his world Elephants from the series Discworld.

...and more generically, an unfinished tree:

and finally...have you ever felt at a loss?