Mathematician CV — page 1

Elena

Vasquez

PROFESSIONA L

SUMMA RY

Research

mathematician

with

a

Ph

.

D

.

from

Princeton

University

and

postdoctoral

training

at

the

Institute

for

Advanced

Study

.

Specializing

in

birational

geometry

,

moduli

spaces

,

and

arithmetic

intersections

.

Published

14

peer

-

reviewed

articles

in

top

-

tier

journals

including

Inventiones

Mathematicae

and

Journal

of

the

AMS

.

Awarded

an

NSF

Postdoctoral

Research

Fellowship

and

the

AMS

Centennial

Fellowship

.

Committed

to

advancing

mathematical

knowledge

through

rigorous

theory

-

building

and

cross

-

disciplinary

collaboration

.

EDUCAT ION

Ph

.

D

.

in

Mathematics

2018 – 2023

Princeton

University

,

Princeton

,

NJ

B

.

A

.

in

Mathematics

,

summa

cum

laude

2014 – 2018

University

of

Chicago

,

Chicago

,

IL

RESEA RCH

INT EREST S

Algebraic

geometry

,

birational

geometry

,

moduli

theory

,

arithmetic

geometry

,

Hodge

theory

,

derived

categories

,

quadratic

forms

,

intersection

theory

,

K

-

stability

,

and

computational

algebraic

geometry

.

SELECT ED

AWA RDS

&

HONORS

ACA DEMIC

POSIT IONS

Member

,

School

of

Mathematics

2023 –

present

Institute

for

Advanced

Study

,

Princeton

,

NJ

Graduate

Research

Assistant

2019–2023

Princeton

University

,

Princeton

,

NJ

Undergraduate

Researcher

Summer

2017

Mathematical

Sciences

Research

Institute

(

MSRI

),

Berkeley

,

CA

SELECT ED

PUBLICAT IONS

2025

—

Stable

degenerations

of

K

3

surfaces

with

non

-

symplectic

automorphisms

.

Ph

.

D

.

in

Mathematics

·

Algebraic

Geometry

&

Number

Theory

evasquez

@

math

.

princeton

.

edu

+1 (609) 555-0842

math

.

princeton

.

edu

/~

evasquez

Princeton

,

NJ

08544

Dissertation

:

Stable

degenerations

of

K

3

surfaces

and

arithmetic

applications

—

Advisor

:

Prof

.

James

McKernan

—

Committee

:

J

.

Kollár

,

C

.

Voisin

,

M

.

Musta

ţă

—

Certificate

in

Applied

and

Computational

Mathematics

—

Departmental

Honors

in

Mathematics

—

Minor

in

Physics

—

GPA

: 3.97/4.00

—

NSF

Postdoctoral

Fellow

;

research

on

stable

degenerations

,

moduli

of

K

3

surfaces

,

and

arithmetic

intersections

—

Organizer

of

the

IAS

Algebraic

Geometry

Seminar

(2024–2025)

—

NSF

-

funded

research

on

birational

geometry

and

moduli

spaces

under

Prof

.

J

.

McKernan

—

Developed

computational

tools

for

studying

singularities

of

algebraic

varieties

—

REU

participant

;

project

: "

Enumerative

geometry

on

toric

surfaces

"

with

Prof

.

M

.

Hering

—

1 / 3

Mathematician CV — page 2

AMS

Centennial

Fellowship

American

Mathematical

Society

2025

NSF

Postdoctoral

Research

Fellowship

National

Science

Foundation

2023–2026

Clay

Research

Award

(

Honorable

Mention

)

Clay

Mathematics

Institute

2022

Herman

Goldstine

Fellowship

Institute

for

Advanced

Study

2022

Princeton

Porter

Ogden

Jacobus

Fellowship

Princeton

University

2022

NSF

Graduate

Research

Fellowship

National

Science

Foundation

2019–2022

T EACHING

EXPERIENCE

Visiting

Assistant

Professor

Fall

2025

University

of

Michigan

,

Ann

Arbor

Instructor

of

Record

2024

Institute

for

Advanced

Study

/

Princeton

Teaching

Assistant

2018–2022

Princeton

University

,

Department

of

Mathematics

Vasquez

,

E

.

Inventiones

Mathematicae

, 240(1), 1–58.

2024

—

Arithmetic

intersections

on

moduli

spaces

of

elliptic

K

3

surfaces

.

Vasquez

,

E

.;

McKernan

,

J

.

Journal

of

the

American

Mathematical

Society

,

37(4), 1103–1161.

2024

—

Log

canonical

thresholds

and

K

-

stability

of

Fano

threefolds

.

Vasquez

,

E

.;

Zhang

,

L

.

Duke

Mathematical

Journal

, 173(8), 1547–1610.

2023

—

Moduli

of

K

3

surfaces

with

a

purely

non

-

symplectic

automorphism

.

Vasquez

,

E

.

Compositio

Mathematica

, 159(11), 2345–2412.

2022

—

Quadratic

forms

and

the

geometry

of

Enriques

surfaces

.

Vasquez

,

E

.

Algebraic

Geometry

, 9(4), 402–448.

2021

—

Torus

actions

on

Fano

varieties

and

birational

super

-

rigidity

.

Vasquez

,

E

.;

Kollár

,

J

.

Annales

Scientifiques

de

l

'

École

Normale

Supérieure

, 54(5), 1121–1174.

INVIT ED

TA LKS

(

SELECT ED

)

SKILLS

&

LA NGUAGES

Mathematics

Algebraic

geometry

,

birational

geometry

,

moduli

theory

,

arithmetic

geometry

,

Hodge

Programming

Python

,

SageMath

,

Magma

,

Macaulay

2,

Julia

,

MATLAB

,

LaTeX

,

TikZ

,

Git

Math

596:

Topics

in

Algebraic

Geometry

—

Moduli

of

Curves

—

Special

Topics

:

Birational

Geometry

and

K

-

stability

(

graduate

level

)

—

Advanced

Calculus

(

MAT

203),

Abstract

Algebra

(

MAT

311),

Algebraic

Geometry

(

MAT

521)

—

Led

problem

sessions

,

graded

,

held

office

hours

;

received

departmental

teaching

commendation

2021

—

"

Stable

degenerations

of

K

3

surfaces

" —

AMS

Sectional

Meeting

,

San

Francisco

,

2025

—

"

Arithmetic

intersections

on

K

3

moduli

" —

Birational

Geometry

Conference

,

Heidelberg

, 2024

—

"

Log

canonical

thresholds

and

K

-

stability

" —

Algebraic

Geometry

Seminar

,

MIT

, 2024

—

"

Moduli

of

K

3

surfaces

with

automorphisms

"

—

AG

Seminar

,

Harvard

University

, 2023

—

"

Quadratic

forms

on

Enriques

surfaces

" —

Graduate

Student

Conference

,

Columbia

,

2022

—

2 / 3

Mathematician CV — page 3

theory

,

intersection

theory

,

quadratic

forms

,

K

-

stability

Languages

English

(

native

),

Spanish

(

native

),

French

(

advanced

–

reading

),

German

(

intermediate

–

reading

),

Italian

(

basic

)

Other

Scientific

writing

,

peer

review

(6

journals

),

conference

organization

,

outreach

,

mentorship

SERVICE

&

OUT REACH

Organizer

,

IAS

Algebraic

Geometry

Seminar

(2024–2025)

—

Co

-

organizer

,

Princeton

Women

in

Mathematics

Workshop

(2023, 2024)

—

Mentor

,

Princeton

Mathematics

Mentorship

Program

(2021–2023)

—

Volunteer

,

MathCounts

coaching

for

Trenton

public

middle

schools

(2019–2022)

—

Referee

for

Inventiones

Mathematicae

,

Duke

Mathematical

Journal

,

Algebraic

Geometry

,

Journal

of

Algebra

,

Transactions

of

the

AMS

—

3 / 3

Mathematician CV

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