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Math PhD | Linear Algebra, Real Analysis, Math Enrichment & More
Erin B.

5.0 (4 ratings)

23 hours tutoring

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Hourly Rate: $60
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Response time: 1 hour

About Erin

Bio

Hi, I’m Erin! I have a Ph.D. in Mathematics from UT Austin, where teaching was one of my favorite parts of graduate school. I taught calculus, linear algebra, and abstract algebra as both a teaching assistant and an instructor, and received a departmental teaching award. Whether I’m working with a full classroom or a single student, what I enjoy most is pinpointing exactly where someone’s understanding breaks down and rebuilding from there.

Much of my experience is one-on-one. For five...

Hi, I’m Erin! I have a Ph.D. in Mathematics from UT Austin, where teaching was one of my favorite parts of graduate school. I taught calculus, linear algebra, and abstract algebra as both a teaching assistant and an instructor, and received a departmental teaching award. Whether I’m working with a full classroom or a single student, what I enjoy most is pinpointing exactly where someone’s understanding breaks down and rebuilding from there.

Much of my experience is one-on-one. For five years, I mentored undergraduates through independent projects on topics like topological data analysis, neural networks, and stochastic processes, adjusting the pace to each student’s background and goals. I’ve also run a probability bootcamp for graduate students preparing for their Ph.D. qualifying exam, led large calculus exam-review sessions, and designed puzzle-based math sessions for middle and high schoolers.

My strongest subjects are calculus, linear algebra, probability (including measure-theoretic probability), and proof-based courses like discrete math and real analysis. I work with college students at every level, from first-year calculus through graduate coursework and qualifying exams. I also work with curious middle and high schoolers who want to explore math beyond the standard curriculum. In our sessions, I focus on building the tools and understanding to solve a large range of problems.

Feel free to message me about what you’re working on. I’m happy to talk through how I can help!

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Education

Penn State University
Mathematics
University of Texas at Austin
PhD

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Approved Subjects

Calculus

Calculus

I was a Calculus teaching assistant for three semesters, where I hosted office hours and tutoring sessions for undergraduate calculus students. I also ran large-format exam and course review sessions for multiple Calculus classes.
Discrete Math

Discrete Math

I bring both formal coursework and original research experience to discrete mathematics. As an undergraduate, I took Discrete Math, Combinatorics, Graph Theory, and Data Structures and Algorithms, and as a graduate student I audited a graduate-level Graph Theory course to deepen that background further. My undergraduate research resulted in two published papers: one on rainbow numbers for linear equations over cyclic groups (an anti-Ramsey theory problem in combinatorics), and one on congruences for integer partition functions using tools from combinatorial and analytic number theory. My Ph.D. dissertation research was in group theory, and as a mentor in UT Austin's Directed Reading Program, I guided undergraduates through independent projects in integer partitions and extremal combinatorics, helping them build the proof techniques and combinatorial reasoning central to the field. Together, this gives me a strong foundation in discrete math from both the classroom and research sides.
GMAT

GMAT

I scored a perfect score on the math section of the GRE as well as a 165 in the verbal section. I also have experience in tutoring for the GMAT Quantitative Reasoning section. I was able to help my client go from the 17th percentile in GMAT Focus Quantitative Reasoning to the 88th percentile.
GRE

GRE

I scored a perfect score on the math section of the GRE as well as a 165 in the verbal section. I also have experience in tutoring for the GMAT Quantitative Reasoning section. I was able to help my client go from the 17th percentile in GMAT Focus Quantitative Reasoning to the 88th percentile.
Linear Algebra

Linear Algebra

I hold a Ph.D. in Mathematics from UT Austin, where I served as a Teaching Assistant for linear algebra, among other courses, over five semesters. In that role I ran discussion sections, held office hours, and worked closely with students one-on-one to help them build both computational fluency and conceptual understanding, from matrix operations and systems of equations through vector spaces, eigenvalues, and linear transformations. My broader background in abstract, proof-based mathematics, including my Ph.D. research in group theory, gives me a strong grasp of the more theoretical side of the subject as well. I enjoy meeting students wherever they're starting from, whether that means building up computational skill or developing comfort with formal proofs.
Probability

Probability

I hold a Ph.D. in Mathematics from UT Austin, with experience in probability at both the undergraduate and graduate levels, including coursework I took myself and material I've taught and mentored others through. I independently developed and led a probability bootcamp preparing graduate students for the department's Ph.D. qualifying exam, covering the subject in depth from measure-theoretic foundations through discrete-time martingale theory, using problems drawn from past qualifying exams and standard graduate texts. As a mentor in UT's Directed Reading Program, I also guided students through independent projects in measure theory, advanced probability theory, and stochastic processes, tailoring the material to each student's background. Together, this gives me strong, exam-tested command of probability from foundational random variables and expectation through weak laws, central limit theorems, and martingale convergence.
Real Analysis

Real Analysis

I hold a Ph.D. in Mathematics from UT Austin, with experience in real analysis at both the undergraduate and graduate levels, including coursework I took myself and material I've taught and mentored others through. As a graduate student mentor, I guided undergraduate students through independent projects in measure theory, advanced probability theory, and dynamical systems, and I separately developed and led a graduate-level probability bootcamp built on measure-theoretic foundations. My dissertation research in ergodic theory also drew heavily on analysis, including work translating theory from probability measures to infinite measures. Together, this gives me strong command of the subject from foundational epsilon-delta proofs through the more advanced measure-theoretic tools used in graduate-level analysis.
SAT Math

SAT Math

I hold a Ph.D. in Mathematics from UT Austin and have several years of teaching and tutoring experience spanning algebra, geometry, and calculus, the core content areas tested on the SAT math section. As a Teaching Assistant and outreach coordinator, I've regularly helped students strengthen fundamentals, build problem-solving speed, and catch common errors under time pressure. My background also includes designing accessible, puzzle-based math activities for middle and high school students, which translates well to breaking down SAT-style problems into clear, manageable steps. I'm comfortable working with students at any starting point, whether they need to shore up foundational skills or want strategies for tackling more advanced problems on the test.
Prealgebra
Precalculus
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Hourly Rate: $60
Response time: 1 hour
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