I am an assistant professor at Denison University in Granville, Ohio.

I received my PhD from Dartmouth College, working with Daniel Rockmore on generalized Fourier transforms: efficient algorithms and applications.

 

I love talking about my research, and am also passionate about teaching. You can find more information on both below!

 
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Teaching + Outreach

I love teaching! You can find my teaching statement here.

Currently Teaching

Math 332 Abstract Algebra

Math 124 Multivariable Calculus

Courses Taught

MA231 Linear Algebra and Differential Equations, Fall 2015, Spring 2016, Spring 2017

MA400 Advanced Linear Algebra, Fall 2016

MA124, Multivariable Calculus, Spring 2016, Fall 2016

MA123, Calculus, Fall 2015

Math 71, Honors Algebra, Fall 2013. (Dartmouth)

Math 3, Calculus, Fall 2012. (Dartmouth)

Awards/Grants

Pedagogical Practice Project (with L. Ludwig), 2016

Dartmouth Center for the Advancement of Learning (DCAL) Outstanding Graduate Student Teacher, April 2014.

Mathematics Education Research

In Summer 2014, I had the opportunity to spend two months at the University of Pretoria in South Africa, under an NSF GROW with USAID Research and Innovation Fellowship. I worked with Professor Johann Engelbrecht and Caroline Long on developing, implementing, and testing mathematics education materials in South African public schools.

Selected Presentations

Assignments to Help Students Reflect on their Learning, MAA Mathfest, Chicago, IL, July 2017

Student Writing as a Tool for Synthesizing Ideas in Calculus, MAA Mathfest, Chicago, IL, July 2017

Fundamental Misunderstandings, Teaching Matters GIFTS, Denison University, February 2017

A Question-Based Approach to Linear Algebra, MAA MathFest, Columbus, OH, August 2016

Introducing Inquiry-Based Mathematics Learning Materials into South African Public Schools, Joint Mathematics Meetings, Seattle, WA, January 2016

 

Outreach

Sonia Kovalevsky Women in Math Day, Dartmouth College, May 2015, organizer.

Sonia Kovalevsky Women in Math Day, Dartmouth College, May 2014, session leader.

Graduate Women in Science and Engineering Science Day, Dartmouth College, April 2014, session leader.

Johns Hopkins University Center for Talented Youth (CTY), Dartmouth College, October 2013, session leader.

Graduate Women in Science and Engineering Science Day, Dartmouth College, April 2013, session leader.

Johns Hopkins University CTY, Dartmouth College, May 2013, session leader.

Dartmouth Summer Math Camp, Dartmouth College, July-August 2012 co-organizer (with I.Adelstein, J.Bloom, M.Martinez, N.McNew, and L.Zhao).

Sonia Kovalevsky Women in Math Day, Dartmouth College, October 2012, panelist.

Sonia Kovalevsky Women in Math Day, Darmouth College, October 2011, panelist.

Soccer Without Borders, Grandada, Nicaragua, Spring 2010, volunteer.

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Research Interests

I am particularly excited about exploring the link between algebra and graph theory by translating algebraic problems into combinatorial questions about graphs, and vice versa. My graduate research unites discrete mathematics with representation theory and algebraic combinatorics through a generalization of the classical discrete Fourier transform to finite groups and semisimple algebras. I have developed efficient algorithms to compute generalized Fourier transforms and have also analyzed their applications to random walks. For more details, you can view my research statement here. You can also hear me talk about classical Fourier transforms here (starting around 1:36).  

 

Publications

Generalized Condorcet Winners (with A. Meyers, M. Orrison, J. Townsend, and A. Wu), Social Choice and Welfare 43 (2014), no. 1, 11-27. 

Asymptotic Growth of Associated Primes of Certain Graph Ideals, Communications in Algebra 42 (2014), no. 5, 2114-2125.

Generalized Fourier Transforms and their Applications, dissertation (2015).

Separation of Variables and Computation of Fourier Transforms on Finite Groups, II (with D. Maslen and D. Rockmore), Journal of Fourier Analysis and Applications (2016) 

The Efficient Computation of Fourier Transforms on Semisimple Algebras (with D. Maslen and D. Rockmore), Journal of Fourier Analysis and Applications (2017)

Awards

National Science Foundation Graduate Fellowship, 2011-2015.

National Science Foundation GROW with USAID Research and Innovation Fellow, South Africa, Summer 2014.

Selected Presentations

Fourier Analysis on Groups and Algebras: an Algorithm and a Walk (invited), CU Boulder Algebraic Lie Theory Seminar, Boulder, CO, March 2017

Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II (poster), FPSAC, Vancouver, BC, July 2016

Generalized Fourier Transforms (invited), Sam Houston St. Univ. Colloquium, Huntsville, TX, March 2016

A Random Walk Through Algebra, Denison Scientific Association, Denison University, February 2016

Random Walks on the BMW Monoid: an Algebraic Approach, MSRI/PIMS Summer School in Probability, June 2015

 

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About Me

When not doing math, I am running as much as possible. I played soccer in college (go tigers!) and have since taken up distance running. I've run three marathons and seven half-marathons so far and hope one day to complete an ultra!

Contact Information

Email: wolffs@denison.edu

Office: 211 Olin