I'm Acadia Larsen,

Research Intrests

Broadly speaking I am intrested in enumerative combinatorics, number theory, and the application of computers to these areas.

I've written several papers concerning $p (n,m)$, the function which enumerates integer partitions of $n$ into at most $m$ parts. These papers work on exploring number theoretic, combinatorial, geometric, and algebraic properties of $p (n,m)$.

Publications

Cranks for partitions with bounded largest part.

To appear in PAMS 2023.
Co-authored with Brandt Kronholm and Dennis Eichhorn.

A Generalization of Partition Identities for First Differences of Partitions of $n$ into at Most $m$ Parts.

Electronic Journal of Combinatorics, June 2021.
(Master's Thesis Work)

See PDF.

Quasipolynomials and Maximal Coefficients of Gaussian Polynomials

Annals of Combinatorics, November 2019.
Co-authored with Angelica Castillo, Stephanie Flores, Anabel Hernandez, Brandt Kronholm, and Arturo Martinez.

See in Springer Website.

A Survey of Divisibility Proprieties of the Partition Function and Related Functions.

The Mellon Mays Undergraduate Fellowship Journal, February 2015.

Inequalities For Positive Rank and Crank Moments of Overpartitions

International Journal of Number Theory, December 2014.
Co-authored with Alexa Rust and Holly Swisher.

Download PDF.

Symmetry and Prime Divisibility Properties of the Generating Function for Partitions of $n$ into Exactly $m$ Parts

Annals of Combinatorics, March 2014.
Co-authored with Brandt Kronholm.

See PDF.

Current Teaching Assignments

Winter 2023 TA MAT 16B - Short Calculus

University of Califonia Davis

Fall quater TA MAT 108 - Introduction to Abstract Mathematics

Fall quater TA MAT 21C - Calculus

University of Texas Rio Grande Valley

MATH 2413 Calclus I

MATH 2414 Calclus II

MATH 1314 College Algebra

MATH 1342 Elementary Statistical Methods

Education

Ph.D. in Applied Mathematics

University of California, Davis, 2020 - 2025 (Expected).

M.Sc. in Mathematics

The University of Texas Rio Grande Valley, December 2018.

Dean’s Graduate Research Assistant
Thesis: Partition Identities for Partitions with Parts from a Finite Set.

B.A. in Mathematics Minor in Economics

Whittier College, cum laude, May 2014.

Budapest Semesters Abroad in Mathematics

Spring 2013.

Experience

University of Texas: Rio Grande Valley

Part-Time Lecturer, August 2019 - August 2020.

Course Hero

Item Writer (contract), June 2019 - March 2020.

I author high quality supplemental textbook resources for popular collegiate mathematics textbooks in a collaborative environment. Additional duties include scripting explanatory graphs in JSX graph environment, accurately recording key notations in the text, and providing clear and concise explanations that help students succeed.

University of Texas: Rio Grande Valley

Graduate Assistant, September 2017 - December 2018.

My duties were to assist Dr. Kronholm in research projects, grade papers from an introduction to proofs class, and serve as a Graduate Teaching Assistant teaching one section of College Algebra with 39 students.

Exl Learning

Tutor and Summer Camp Instructor, February 2017 - August 2017.

I effectively tutored $5^{th}$ to $12^{th}$ grade students in core mathematics skills, algebra, grade level material, college admission test preperation, and calculus for Denver’s premiere tutoring center. My students expended growth and increased test scores in every instance. Additionally, I lead a variety of summer camps in which $3^{rd}$ through $8^{th}$ graders learned about puzzles, engineering, and fiction. Parents reported that their students gave high praise for the instruction and activities in these summer camps.

Royal Crest Dairy

Route Driver, August 2016 - December 2016.

I delivered fresh milk products to 150+ homes in the greater Denver Metro area meeting delivery deadlines and ensuring customer satisfaction. During the month of November, I was awarded Driver of the Month for high customer satisfaction and accurate deliveries.

Denver Math Fellow (Americorps)

Lead Fellow, August 2014 - August 2016.

I effectively tutored, taught, and mentored small groups (1 - 5 students) of $9^{th}$ grade students in math for Algebra 1, Geometry, Algebra 2, and foundational topics at Denver Center for International Studies at Montbello, an under served school in Denver Public Schools school district. Furthermore, I worked in a team environment to develop individualized objective oriented lesson plans for small group instruction. After my first year, I became a Lead Fellow which provided an approximate 10% salary increase and am supported by an Americorps grant.

Whittier College Math Department

Grader, September 2010 - December 2011, September 2012 - December 2012, September 2013 - May 2014.

A work study position where I quickly and accurately graded homework for courses including Calculus and Analytic Geometry I & III, College Mathematics, and Introduction to Linear Algebra and Differential Equations.

Whittier College Information Technology Services

Student Computer Technician, September 2010 - December 2012, September 2013 - May 2014.

Successfully repaired hardware and software issues with student and faculty laptop and desktop computers in both Windows and Mac environments. Additionally, I performed accurate installation and repair of network printers for various facilities around campus. Additional duties included courteously answering faculty and student questions as well as professional delivery of classroom technology

Target Pleasant Hill

Remodel Team Member, June 2011 - August 2011.

As a temporary remodel employee, I accurately set up new shelving and store plans in a team environment. Furthermore, I assisted customers find items in the store are well as preformed cash register duties when needed.

Grants and Awards

Japan Society for Promotion of Science (2018)

A ¥538000 ($5300) award to conduct research on algorithms and voting games in Japan.

SMART award (2018)

A $2000 award for the semester to lead three undergraduate students in mathematical research via the Student Mentoring and Research Training program at UTRGV.

Dean’s Graduate Research Assistant at UTRGV (2017-2018)

A $15000 research stipend and 2 years of tuition wavers at UTRGV.

Pyle Prize for outstanding graduate in mathematics (2014)

An award recognizing one outstanding graduate in mathematics at Whittier College.

Mellon Mays Undergraduate Fellowship (2012-2014)

A $10,000 award to conduct research as an underrepresented undergraduate.

Technical Skills

Programming Languages

I am proficient programming in C++ and Python. I have a rudimentary understanding of SQL.

Computer Algebra Systems/Specialty Packages

I am experienced in AMPLE, Maple, Mathematica, and Sage.

Algorithm Design

I have experience designing mathematically sound and efficient algorithm for discrete problems including optimization problems.

Office Software

I am proficient in Microsoft Office Suite and LaTeX.

Research Experience

Oregon State University: Research Experience for Undergraduates

June 2013 - August 2013

I studied overpartitions with Dr. Holly Swisher. I made key advances on a conjecture of Mao regarding inequalities of rank and crank moments of overpartitions. This work lead to an academic paper published in the International Journal of Number Theory.

California State University: Channel Islands Research Experience for Undergraduates

June 2012 - August 2012

I studied representations of Young tableaux with Dr. Heather Russel. With Dr. Russel and other students, I created a program to quickly diagram $SL_n$ webs creating a valuable tool in our research. Additionally, we made progress in finding an irreducible basis for $SL_4$ webs.

Publications

Cranks for partitions with bounded largest part. With Brandt Kronholm and Dennis Eichhorn, Submitted.

A Generalization of Partition Identities for First Differences of Partitions of $n$ into at Most $m$ Parts. Electronic Journal of Combinatorics, July 2021.

Quasipolynomials and Maximal Coefficients of Gaussian Polynomials. With Angelica Castillo, Stephanie Flores, Anabel Hernandez, Brandt Kronholm, and Arturo Martinez. Annals of Combinatorics, November 2019.

A Survey of Divisibility Proprieties of the Partition Function and Related Functions. The Mellon Mays Undergraduate Fellowship Journal, February 2015.

Inequalities For Positive Rank and Crank Moments of Overpartitions. With Alexa Rust and Holly Swisher. International Journal of Number Theory, December 2014.

Symmetry and Prime Divisibility Properties of the Generating Function for Partitions of $n$ into Exactly $m$ Parts. With Brandt Kronholm. Annals of Combinatorics, March 2014.

Conference Presentations

South Texas Discrete Geometry and Algebraic Combinatorics Conference

"Title" (Talk)

South Padre Island, September 28, 2019.

Joint Mathematics Meetings 2018

"A Generalization of First Difference Identities for Partitions of $n$ Into at Most $m$ Parts" (Invited talk)

Special Secession on Partitions. Baltimore, January 16-20, 2019.

Graduate Student Combinatorics Conference

"First Difference Identities for Partitions of $n$ Into at Most $m$ Parts" (Talk)

University of Texas at Dallas, April 7, 2018.

Pacific Coast Undergraduate Mathematics Conference

"Inequalities for Rank and Crank Moments of Overpartitions" (Talk)

Pepperdine University, March 8, 2014.

Joint Mathematics Meetings 2014

"Inequalities for Rank and Crank Moments of Overpartitions" (Poster)

Baltimore, January 15-18, 2014.

Southern California Undergraduate Research Conference

"Ramanujan-like Restricted Integer Partitions Sums" (Talk)

Whittier College, November 23, 2013.

Mellon Mays Undergraduate Fellowship West Coast Conference

"Ramanujan-like Restricted Integer Partitions Sums" (Talk)

University of California Berkeley, October 31 - November 3, 2013.

Southern California Undergraduate Research Conference

"Ramanujan-like Restricted Integer Partitions Sums" (Talk)

University of California Channel Islands, November 17, 2012.

Ramanujan 125

Attended

University of Florida, November 5 -7, 2012.

Ivy STEM+ Symposium

"Ramanujan-like Restricted Integer Partitions Sums" (Poster)

University of Pennsylvania, October 4 - 6, 2012.

Extracurricular

Secret Student Seminar

University of Texas Rio Grande Valley

Organizer, Spring 2018.

Mathematics Club

Whittier College

Member, 2010 - Spring 2012,
Treasurer, Fall 2012 - Spring 2012,
President, Fall 2013 - Spring 2014.

Pi Mu Epsilon

Whittier College Chapter

Member, Spring 2012 - Spring 2013,
President, Fall 2013 - Spring 2014

Last updated: January 2022