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Mathematics PhD with 5+ years of teaching experience
Erin B.

2 hours tutoring

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Hourly Rate: $60
Response time: 3 hours

About Erin


Bio

I hold a Ph.D. in Mathematics from the University of Texas at Austin, where teaching was central to my graduate training. I was a Teaching Assistant for five semesters, covering Calculus 2 and 3, linear algebra, and abstract algebra, and an Assistant Instructor of record for two semesters, earning the Frank Gerth III Teaching Excellence Award. I ran discussion sections, held office hours, wrote and graded assessments, and worked with students to diagnose where their understanding broke down,...

I hold a Ph.D. in Mathematics from the University of Texas at Austin, where teaching was central to my graduate training. I was a Teaching Assistant for five semesters, covering Calculus 2 and 3, linear algebra, and abstract algebra, and an Assistant Instructor of record for two semesters, earning the Frank Gerth III Teaching Excellence Award. I ran discussion sections, held office hours, wrote and graded assessments, and worked with students to diagnose where their understanding broke down, adapting to different backgrounds and paces. I also led large-format calculus review sessions through UT's Sanger Learning Center, covering Calculus 1 and 2 for groups preparing for exams.

I spent five years as a mentor in UT Austin's Directed Reading Program, working one-on-one with a different undergraduate each term on an independent project. Topics included integer partitions, topological data analysis, tochastic processes, neural networks, and geometric properties of groups, with pacing tailored to each student's background and goals. One summer, I developed and led a probability bootcamp preparing graduate students for the department's Ph.D. qualifying exam, covering graduate-level material from measure-theoretic foundations through discrete-time martingale theory.

I spent three semesters coordinating the Sunday Morning Math Group, a math outreach program for middle and high school students, designing and leading inquiry-based sessions built around puzzles across a range of mathematical topics, building toward accompanying guest talks from visiting mathematicians.

Across these roles, I have several years of experience teaching mathematics in classroom, small-group, and one-on-one settings, with particular strength in calculus, linear algebra, probability, and abstract/proof-based mathematics. I'm open to working with college students at all levels and with bright middle/high schoolers looking to explore math beyond what's taught in the typical classroom.


Education

Penn State University
Mathematics
University of Texas at Austin
PhD

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Approved Subjects

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.
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.
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Hourly Rate: $60
Response time: 3 hours
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