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Mathematics Department

When you study mathematics at Âé¶¹avÓ³»­´«Ã½ you actively participate in your learning and work closely with both students and professors.

You belong to a supportive community of mathematicians becoming fluent in the language of the natural world. You look beyond numbers and formulas to abstract patterns, using your imagination and stretching your creativity. As you develop deeper understanding of the fundamentals of mathematics, you’ll become a well-educated and well-rounded person. Through your classes and work on research projects, you’ll gain knowledge and skills that make you a better thinker and communicator and prepare you for interesting and rewarding careers.

All Majors and Programs

Are you inquisitive and persistent?

Alumni Stories

Heather Totten ’19 is an Information Security Operations Analyst at Tempus Labs, Inc.

Amy Armento Lee ’09 is a Quantitative UX researcher at Google. After completing her Math BS at Âé¶¹avÓ³»­´«Ã½, she completed her MS in Biostatistics at Columbia University.

Kyle Bechler ’06 works as a data scientist with CBRE in Santa Barbara. In 2015, he completed his doctorate in statistics at UC Santa Barbara. His areas of expertise include predictive modeling, machine learning, leveraged credit, and financial modeling.

Manuel Reyes ’05 is an Associate Professor of Mathematics at UC Irving. He gave the 2022 American Mathematical Society and Mathematical Association of America Joint Invited Address on “How Noncommutative Algebra Points Toward Quantum Geometry.â€

Olivia Hughes ’17 is an epidemiologist at ICON plc. After completing her Math BS at Âé¶¹avÓ³»­´«Ã½, she completed her MS in Biostatistics at Harvard T.H. Chan School of Public Health.

Bailey Hall '24 completed an A3D3 Postbaccalaureate Research Fellow at the University of Washington. She is currently a graduate student and teaching assistant at Northern Arizona University.

Career Opportunities

Interested in pursuing a career based on solving complex problems?

According to the Bureau of Labor Statistics, employment occupations that require a strong background in math or computer science continues to grow at faster than average rates. Our graduates find jobs in many areas, including:

Education

Linguistics

Medicine

Law

Finance

Biomedical Research

Software Development

Systems Analysis

Operations Research

Government Service

Data Analytics

Research

The mathematics faculty at Âé¶¹avÓ³»­´«Ã½ are active researchers in their fields and are involved in many fascinating projects!

Dr. Aboud works with a research group studying heat diffusion across fractal domains. Remarkably, the same set of equations governing this process also dictates how information flows across computer networks and also how current flows through an electric network. These connections have led to fruitful and fascinating collaboration between mathematicians, engineers, and theoretical computer scientists. 

Nonperiodic tilings, such as the Penrose tiling, have enjoyed fruitful study in Euclidean space where their structure can be studied from the perspective of algebraic topology. Dr. Hansen's research group has extended some of this theory from the "flat" world of Euclidean space to the "curved" world of what are called "nilpotent Lie groups." They plan to compute the cohomology ring of a tiling space on the Heisenberg group in an effort to better understand the properties of such tilings.

An interesting question grew out of an article published by Dr. Howell and three Âé¶¹avÓ³»­´«Ã½ students in the February 2025 issue of the American Mathematical Monthly (doi=). 

The research group was able to find a way to associate complex-valued functions with numbers picked at random between zero and one. They also found uncountable collections of such numbers that give rise to functions having a special property--and also an uncountable collection of those numbers that produce functions without that property. They further proved that the probability is either zero or one of picking a number that produces a function with that property. Those results naturally lead to the following question: "What is the probability--zero or one?"

Dr. Hunter researches and experiments with pedagogical methods related to inclusive teaching, active learning, and alternative grading.

Dr. van der Walt combines classical approximation theory with advances in machine learning, and uses these in applications in the medical field and signal processing space. She is also interested in dimensionality reduction and visualization of higher dimensional data.

Undergraduate Research

Dr. van der Walt was recently awarded an NSF grant supporting a research partnership between Âé¶¹avÓ³»­´«Ã½ and Santa Barbara City College (SBCC) designed to engage undergraduate students in mathematics research! Together with Gabriel Pretel (SBCC), Dr. van der Walt is leading a group of seven undergraduate students from Âé¶¹avÓ³»­´«Ã½ and SBCC as they pursue a project using Principle Component Analysis. 

 

MATHEMATICS NEWS

STUDENT AWARDS & SCHOLARSHIPS

Howell Scholars Program

The Âé¶¹avÓ³»­´«Ã½ Mathematics and Computer Science department will soon be opening applications for the Howell Scholars program for students who are considering attending Âé¶¹avÓ³»­´«Ã½ in the fall of 2026.

This scholarship was created to attract passionate and talented students who want to attend Âé¶¹avÓ³»­´«Ã½ to study mathematics. It is named in honor of Dr. Russell Howell, a beloved professor in the mathematics department who has worked tirelessly to support Âé¶¹avÓ³»­´«Ã½ students in their pursuit of mathematics, including fundraising, pursuing excellence in the classroom, and regularly mentoring exceptional undergraduate research.

2025 Howell Scholars

Congratulations to the 2025 Howell Scholars: Erik Potts, Riley Vaughan, and Asher Agol!

The application deadline will be announced soon.