## Research Experiences for Undergraduates (REU)

### REU CV

This is where we keep information on what OSU REU students have accomplished with their
REU research after the program is completed, such as giving talks and publishing research
papers. If you have updated information for this page, please email us at

math_reu@science.oregonstate.edu.

### Quick Statistics

Total number of participants as of 2015: 270

Percentage of female participants from 2005-2015: > 47%

Percentage of participants from 2005 - 2013 earning Masters or PhD in the mathematical
sciences, or currently in such a graduate program: > 56%

Percentage of female participants from 1987-2004: > 43%

Percentage of participants from 1987 - 2004 earning Masters or PhD in mathematics, or related
field: > 43%

### Research Papers arising from REU Research co-authored by REU students

(2010 - present)

**Submitted/In Preparation**
Karina Cho and Jacob Naranjo,

*Generalizations of Triangle Inequalities to Spherical and
Hyperbolic Geometry*, submitted.

Dallas Foster, Collin Victor, Brian Frost, and Juan M. Restrepo,

*Gradient Sensing via Cell Communication*, submitted.

Brian Diaz, Erin Ellefsen, and Holly Swisher,

*Extending a catalog of quantum modular forms
to an infinite class*, in preparation.

**Appeared/Accepted**
Glencora Borradaile, Hung Le, Melissa Sherman-Bennett,

*Large induced acyclic and outerplanar subgraphs of 2-outerplanar graphs*, Graphs and Combinatorics, to appear.

Kenneth Allen, David DeMark, and Clayton Petsche,

*Non-Archimedean Hénon maps, attractors, and horseshoes*, Research in Number Theory, Vol. 4 Issue 1 (2018).

Jenia Rousseva and Yevgeniy Kovchegov,

*On Alternating Quantum Walks*, Physica A, Vol. 470 (2017), 309-320

Glencora Borradaile, Jennifer Iglesias, Theresa Migler, Antonio Ochoa, Gordon Wilfong, and
Lisa Zhang

* Egalitarian graph orientations*, Journal of Graph Algorithms and Applications, Vol. 21, no. 4, (2017).

Catherine Babecki, Chris Jennings-Shaffer, and Geoffrey Sangston,

*Higher Order Smallest
Parts Functions and Rank-Crank Moment Inequalities from Bailey Pairs*, Research in Number
Theory, Vol. 2(1), (2016), 1-35.

Oleg Lazarev, Matthew Mizuhara, Benjamin Reid, and Holly Swisher,

* An extension of a
proof of the Ramanujan congruences*, The Ramanujan Journal, (2016), 1-20. doi:10.1007/s11139-016-9817-x

Robert Costa, Patrick Dynes, and Clayton Petsche,

*A p-adic Perron-Frobenius Theorem*,
Acta Arithmetica Vol. 174 (2016), 175-188.

Ethan Alwaise, Elena Iannuzzi, and Holly Swisher,

*A proof of some conjectures of Mao on
partition rank inequalities*, The Ramanujan Journal, (2016), 1-16. doi:10.1007/s11139-016-9789-x.

Matthew Mizuhara, James Sellers, and Holly Swisher,

*A periodic approach to plane partition
congruences*, Integers 16, A16 (2016), 1-13.

Acadia Larsen, Alexa Rust, and Holly Swisher

*Inequalities for positive rank and crank
moments of overpartitions*, Int. J. Number Theory 10 (2014), no. 8, 2115–2133.

Paul Cull, Leanne Merrill, Tony Van, Celeste Burkhardt, and Tommy Pitts,

*Solving Towers
of Hanoi and Related Puzzles*, Computer Aided Systems Theory-EUROCAST (2013). Springer
Berlin Heidelberg, (2013). 12-19.

Paul Cull, Leanne Merrill, and Tony Van

*A Tale of Two Puzzles: Towers of Hanoi and
Spin-Out*, Journal of Information Processing

**21** (2013), no.3, 15 pp.

Oleg Lazarev and Holly Swisher,

* A combinatorial proof of a recursive formula for
multipartitions*, Integers 11 (2011), A52, 13 pp.

Paul Cull, Adam Murakami, and Stephanie Young,

*Fast Fibonacci!* Congr. Numer. 200
(2010), pg. 77–94.

### Presentations by REU students related to their REU Research

(2011 - present)

Jacob Naranjo,

*Generalizations of Triangle Relations to Spherical and Hyperbolic Geometry*, AMS/MAA Joint Mathematics Meetings,
Undergraduate Student Poster Session, San Deigo, CA, January 12, 2018,

**poster presentation.**
Andrew Fisher,

*Parameter Distributions in the Lorentz Model for Dispersion*, NUMS (Northwest Undergraduate Mathematics Symposium), Western Washington University, October 14, 2017,

**talk.**
Kenneth Allen,

*p-adic Henon Maps, Attractors, and Horseshoes*, Applied Math Seminar,
UMass Lowell, December 1, 2016,

**talk.**
Melissa Sherman-Bennett,

*Large Induced Outerplanar and Acyclic Subgraphs of Planar Graphs*, AMS/MAA Joint Mathematics Meetings,
Undergraduate Student Poster Session, Seattle, WA, January 8, 2016,

**poster presentation. (Outstanding Poster Award!)**
Megan Golbek,

*Secure Multiparty Computation*, AMS/MAA Joint Mathematics Meetings,
Undergraduate Student Poster Session, Seattle, WA, January 8, 2016,

**poster presentation.**
Patrick Dynes,

*A p-adic Perron-Frobenius Theorem*, Algebraic Geometry and Number
Theory Seminar, Clemson University, Nov. 17, 2015,

**talk.**
Melissa Sherman-Bennett,

*Large Induced Outerplanar and Acyclic Subgraphs of Planar Graphs*,
Council on Undergraduate Research’s Research Experiences for Undergraduates Symposium, Arlington,
VA, October 26, 2015,

**poster presentation. (Outstanding Poster Award!)**
Elena Ianuzzi,

*Rank Difference Inequalities of Partitions*, Women In Mathematics In
New England (WIMIN 15), Smith College, Sept. 19, 2015,

**talk.**
Melissa Sherman-Bennett,

*Breaking Cycles in Planar Graphs*, Women In Mathematics In
New England (WIMIN 15), Smith College, Sept. 19, 2015,

**talk.**
Allison Arnold-Roksandich,

*Modularity of rank difference functions for
multipartitions*, Southeastern Conference for Undergraduate Women in Mathematics,
Clemson University, October 26-27, 2013,

**talk.**
Anthony Lazzaro,

*Modularity of rank difference functions for multipartitions*,
27th Automorphic Forms Workshop, University College Dublin, March 11-14, 2013,

**talk.**
Kevin Schwenkler,

*Inhomogeneous Quantum Walks*, AMS/MAA Joing Mathematics Meetings,
AMS Session on Walks on Graphs and Networks, San Diego, CA, January 12, 2012,

**talk.**
Angelica Deibel,

*Time-Inhomogeneous Quantum Walks*, AMS/MAA Joing Mathematics
Meetings, AMS Session on Walks on Graphs and Networks, San Diego, CA, January 12, 2012

**talk.**
Zoe Jansen and Anthony Lazzaro,

*Modularity of rank difference functions for
multipartitions*, AMS/MAA Joint Mathematics Meetings, Undergraduate Student Poster
Session, San Diego, CA, January 11, 2012,

**poster presentation.**
Emily Carlson and Tselil Schramm,

*Sequences for Touring Graphs*, AMS/MAA Joing
Mathematics Meetings, Undergraduate Student Poster Session, Boston, MA, January 6, 2012,

**poster presentation.**
Emily Carlson,

*Paths on Paths on Paths*, Mid-Hudson Mathematics Conference for
Undergraduates, Bard College, October 16, 2011,

**talk.**