Daniel Flores - Homepage

Publications

Teaching/Grading

Teaching/Grading/Mentorship

2013-2019, Mathematics tutor at Lone Star College - North Harris.
2018-2019, Undergraduate Grader/Mathematics tutor - University of Houston.
Fall 2019, Teaching assistant for MA 16600 - Analytic Geometry And Calculus II - Purdue University.
Fall 2020, Teaching assistant for MA 26100 - Multivariate Calculus - Purdue University.
Fall 2021, Teaching assistant for MA 26100 - Multivariate Calculus - Purdue University.
Fall 2022, Grader for MA 55300 - Introduction To Abstract Algebra - Purdue University.
Fall 2022, Grader for MA 55700 - Abstract Algebra I - Purdue University.
Fall 2023, Grader for MA 34100 - Foundations of Analysis - Purdue University.
Summer 2025, Grader for MA 41600 - Probability - Purdue University.
Fall 2025, Lecturer for MA 16010 - Applied Calculus I - Purdue University.

Talks

Research Talks

Classification of noisy images with a coupled inversion-classification neural network

• [Fall 2018]: LA-TX Undergraduate Mathematics Conference, Louisiana State University.

A quantitative Hasse principle for weighted quartic forms

• [Spring 2024]: Pittsburgh Links among Analysis and Number Theory, University of Pittsburgh and Carnegie Mellon University.

• [Spring 2024]: Southern Regional Number Theory Conference, Louisiana State University.

• [Spring 2024]: AMS Central Sectional meeting, University of Wisconsin-Milwaukee.

A circle method approach to K-multimagic squares

• [Spring 2024]: Combinatorial and Additive Number Theory 2024, CUNY.

• [Summer 2024]: Canadian Number Theory Association XVI, University of Toronto.

• [Fall 2024]: Number Theory Seminar, University of California in Davis.

• [Fall 2024]: Student Analytic Number Theory Seminar, Stanford University.

Existence of K-multimagic squares and magic squares of kth powers with distinct entries

• [Fall 2024]: Number Theory Seminar, University of Göttingen.

• [Spring 2025]: Joint Mathematics Meeting: Math Alliance, Seattle Convention Center.

• [Spring 2025]: Purdue Analytic Number Theory and Harmonic Analysis, Purdue University.

• [Spring 2025]: Number Theory Seminar, Kansas State University.

• [Spring 2025]: Algebraic Geometry and Number Theory Seminar, Rice University.

• [Spring 2025]: Analysis Seminar, Washington University in St. Louis.

• [Spring 2025]: Integers Conference 2025, In Honor of the 80th Birthdays of Melvyn Nathanson and Carl Pomerance, University of Georgia.

• [Spring 2025]: Combinatorial and Additive Number Theory 2025, CUNY.

• [Spring 2025]: 33èmes Journées Arithmétiques, University of Luxembourg.

Expository Talks

A Gentle Introduction to the Circle Method

• [Fall 2023]: Purdue Graduate Student Analysis Seminar, Purdue University.

Service

Lone Star College-North Harris

[Spring 2014-Spring 2016], Math Club Pi Day Organizer.

University of Houston

[Spring 2017-Spring 2019], Pi Mu Epsilon Meeting Organizer.

Purdue University

[Summer 2022], Graduate Mentor for the Summer Research Opportunities Program.
[Fall 2022], Member of the Purdue Mathematics Graduate Representatives.
[Fall 2023], Graduate Mentor for the Mathematics Mentoring Program.
[Fall 2024-Spring 2025], Graduate Mentor for the AWM Math Mentor Program.
[Summer 2025], Graduate Math Mentor to a group of undergraduates under the direction of Steven Miller at Polymath Jr. 2025.

About Me

My name is Daniel Flores, and I was born in Ecatepec de Morelos in Mexico City. At the age of four, I moved to the United States as a first-generation immigrant. Growing up as a Dreamer brought unique challenges that have shaped both my perspective and my goals. These experiences have instilled in me a strong sense of resilience and dedication to my academic journey.

I started my education in Houston, Texas, where I earned an Associate of Science degree from Lone Star College in 2016. My interest in mathematics grew during this time, leading me to pursue a Bachelor of Science in Mathematics at the University of Houston, which I completed in 2019. It was there that I discovered my passion for number theory.

Currently, I'm in the final year of my Ph.D. at Purdue University, working under Professor Trevor Wooley. My research focuses on analytic number theory, the Hardy-Littlewood circle method, harmonic analysis, and arithmetic statistics. In the future I'd like to learn more about sieve theory, additive combinatorics, and exponential sum bounds.

Outside of mathematics, I cherish time with my wife and son, which keeps me grounded and motivated. We especially enjoy playing video games together, its a great way to destress outside of work. Additionally, I play the trumpet in the Purdue concert band, which provides a creative outlet and a personal challenge that I love.

Thank you for visiting my page and taking the time to learn about my academic and personal journey. If you'd like to know more about my story please see my blog post on the Mathematical Association of America website.

Submitted

Accepted

Published