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Mathematics

In its Honors Program the Mathematics Department awards one level of Honors to student research projects. The projects listed below have been defended successfully, and a copy of the thesis deposited in Swem Library.

Key:
  • Student, "Thesis" (Honors level)
    Committee Chair + Other Committee Members

2024-2025

  • Adam Dawson Jutt, (Honors) 
    Gexin Yu + Ryan Vinroot, Dan Cristol
  • Benjamin Medalie Neifeld,   (Honors) 
    Fan Ge + Vladimir Bolotnikov, David Grandis
  • Seth Nelson,  (Honors) 
    Eric Swartz + Gexin Yu, Jackson Sasser
  • John Pendergrass,  (Honors) 
    Gregory Hunt + Lawrence Leemis, Huajie Shao
  • Liam Michael Staker,  (Honors) 
    Fan Ge + Ryan Vinroot, Joshua Erlich

2023-2024

  • Andrew Joseph Pendleton,  (Honors) 
    Fan Ge + Pierre Clare, Matthew Schueller 
  • Nicholas Andrew Zehnle,  (Honors) 
    Ed Chadraa + Gregory Hunt, Narayani Sritharan

2022-2023

  • Paul Conrad Anderson,"" (Honors) 
    Pierre Clare + Vladimir Bolotnikov, Joshua Erlich
  • Cameron Curtis, "" (Honors) 
    Leah Shaw + Sarah Day, Daniela Hurtado-Lange, Rom Lipcius
  •  Owen Matthew Guch, "" (Honors) 
    Gregory Hunt + Heather Sasinowska, Daniel Vasiliu
  • Ethan Scott Hackett, "" (Honors) 
    Erdene Chadraa + Greg Hunt, Haipeng Chen, Erdene Chadraa
  • Allison Jewell Introne, "" (Honors) 
    Leah Shaw + Junping Shi, Jeff Shields
  • Zhuorong Mao, "" (Honors) 
    Charles Johnson + Robert Hicks, Gregory Hunt
  • Brendan Clarke Millis, "" (Honors) 
    Junping Shi + Chi-Kwong Li, Rom Lipcius
  • Ryan Mitchell Pesak, "" (Honors) 
    Eric Swartz + Pierre Clare, Joshua Gert
  • Yuxin Qin, "" (Honors) 
    Lawrence Leemis + Heather Sasinowska, Carl Moody
  • Jiayi Xu, "" (Honors) 
    Gregory Hunt + Rui Pereira, Daniela Hurtado-Lange

2021-2022

  • Alexander Berliner, "" (Honors)
    Sarah Day + Leah Shaw, Ron Smith, William Kalies
  • Grace Smith, "" (Honors)
    Gregory Hunt + Heather Sasinowska, Rex Kincaid, Jerry Watkins III
  • Isabel Agostino, "" (Honors)
    Gregory Hunt + Heather Sasinowska, Rex Kincaid, Nathan Kidwell
  • Jacob Zimmerman, "" (Honors)
    Charles Johnson + Chi-Kwong Li, Timothy Davis
  • Linda Ma, "" (Honors)
    Mainak Patel + Leah Shaw, Margaret Saha
  • Merielyn Sher, "" (Honors)
    Charles Johnson + Eric Swartz, Weizhen Mao
  • Nathaniel Healy, "" (Honors)
    Eric Swartz + Gexin Yu, Nathan Kidwell
  • Rongbiao Wang, "" (Honors)
    Vladimir Bolotnikov + Gexin Yu, Pierre Clare, Paul Davies
  • Sage Stanish, "" (Honors)
    Sarah Day + Chi-Kwong Li, Saskia Mordijck, Ben Dudson
  • Yuqiao Li, "" (Honors)
    Charles Johnson + Pierre Clare, Huajie Shao

2020-2021

  • Andrew Caietti, "" (Honors)
    Anh Ninh + Heather Sasinowska, Tyler Davis
  • Wenxuan Ding, "" (Honors)
    Charles Johnson + Eric Swartz, Carl Moody
  • Samantha Phillips, "" (Honors)
    Eric Swartz + Pierre Clare, Robert Michael Lewis
  • Akshata Pisharody, "" (Honors)
    Pierre Clare + Pierre Clare, Eric Swartz, Gregory Conradi-Smith
  • Alison Reynolds, "" (Honors)
    Greg Hunt + Rex Kincaid, Jon Kay, Heather Sasinowska
  • Spencer Schrandt, "" (Honors)
    C. Ryan Vinroot 
  • Ethan Shelburne, "" (Honors)
    Pierre Clare + Eric Swartz, Daniel Cristol

2019-2020

  • Junda An, "" (Honors)
     Charles Johnson + Gexin Yu, Martin White
  • Kexin Feng, "" (Honors)
     Lawrence Leemis + Heather Sasinowska, Carlisle Moody
  • John Morris, "" (Honors)
     Anh Ninh + Anke van Zuylen, Dan Cristol
  • Yuxin Shang, "" (Honors)
     Junping Shi + Guannan Wang, Ayse Durukan Sonmez
  • Jennifer Shulman, "" (Honors)
     Heather Sasinowska + Lawrence Leemis, Thomas LaSalvia
  • Harrison Tuckman, "" (Honors)
     Mainak Patel + Sarah Day, Greg Conradi Smith
  • Kaidi Wang, "" (Honors)
     Junping Shi + Ross Iaci, Matthew Klepacz
  • Zidan Wang, (Honors)
     Guannan Wang + Rob Carman, Carlisle Moody, Daniel Vasiliu
  • Madellyne Waugh, "" (Honors)
     Charles Johnson + Ryan Vinroot, Timothy Davis
  • Fangming Xu, "" (Honors)
     Leah B Shaw + Junping Shi, Rom Lipcius

2018-19

  • David Allen, ""
    Charles Johnson + Ryan Vinroot, Peter Kemper
  • Benjamin Bechtold, ""
    Pierre Clare + Vladimir Bolotnikov, Vassiliki Panoussi
  • Srijan Bhasin, ""
    Mainak Patel + Drea LaMar, Daniel Cristol
  • Emilee Cardin, ""
    Pierre Clare + Ryan Vinroot, Laura Ekstrom
  • Jacopo Gliozzi, ""
    Pierre Clare + Chi-Kwong Li, Enrico Rossi
  • Chengli Huang, ""
    Junping Shi, Ahn Ninh, Daniel Miller
  • Gabrielle Tauscheck, ""
    Eric Swartz + Christopher Ryan Vinroot, Peter McHenry
  • Xinyu Zhang, "" (Honors)
    Hannes Schniepp + Christopher Abelt, Tyler Meldrum
  • Tianrui Zhu, "" (Honors)
    John Delos + Junping Shi, Joshua Erlich

2017-18

  • Santana Afton, "On Automorphisms of Generalized Quadrangles with a Prime Parameter" (Honors) 
    Eric Swartz + Gexin Yu, Jim Deverick
  • Elena Amparo, "" (Honors) 
    C. Ryan Vinroot + Joshua Erlich, Eric Swartz
  • Tanner Carawan, "" (Honors) 
    C. Ryan Vinroot + Gexin Yu, Joshua Erlich
  • Christopher Hambric, "" (Honors) 
    Junping Shi + C. Ryan Vinroot, Donald Campbell
  • Yoongbok Lee, "" (Honors) 
    Eric Swartz + C. Ryan Vinroot, Xiaojing Liao
  • Xiang Liu, "" (Honors) 
    Junping Shi + Rex Kincaid, Carlisle Moody
  • Aparajita Sur, "" (Honors) 
    Leah Shaw + Helen Murphy, Lawrence Leemis
  • Duo Wang, "" (Honors) 
    Charles Johnson + Junping Shi, Mark Greer
  • John Wilkes, "The Doubly Stochastic Single Eigenvalue Problem: An Empirical Approach" 
    Charles Johnson + Eric Swartz, Andreas Stathopoulos
  • Yanxin Xu, "" (Honors) 
    Guannan Wang + Ross Iaci, Bin Ren
  • Yujing Zheng, "" (Honors) 
    Guannan Wang + Ross Iaci, John Parman
  • Xin Zou, "" (Honors) 
    Junping Shi + Vladimir Bolotnikov, Evgenia Smirni, Gexin Yu

2016-17

  • Haoge Chang, "" (Highest Honors) 
    Charles Johnson + Donald Campbell, Gexin Yu
  • Evan Dienstman, "" (Honors) 
    John Delos + Daniel Vasiliu, Leah Shaw, Junping Shi
  • Michael Kopreski, "" (Honors) 
    Joshua Erlich + Gexin Yu, Gina Hoatson
  • John Marken, "Absolute Fluctuation Robustness in Chemical Reaction Networks" (Honors) 
    Gregory Smith + Leah Shaw, Junping Shi, Michael LaMar
  • Emily Schaal, "" (Honors)
    Yu-Min Chung + Sarah Day, Rui Pereira  
  • Gregory Taylor, "" (Honors)
    Ryan Vinroot + Gexin Yu, Marc Sher
  • Dmitriy Zhigunov, "" (Honors) 
    Eugene Tracy + Gina Hoatson, Nahum Zobin

2015-16

  • Corynne Dech, "" (Honors) 
    Leah Shaw + Ross Iaci, Rex Kincaid, Anke van Zuyelen 
  • Xiaonan Hu, "" (High Honors) 
    Charles Johnson + Gexin Yu, Andreas Stathopoulos
  • Martin Salgago-Flores, "" (Honors) 
    Sarah Day + Yu-Min Chung, Anh Ninh, Greg Smith
  • Morrison Turnansky, "" (Highest Honors)
    Charles Johnson + Marc Sher, Ryan Vinroot
  • Richard Uhrig, "The Minimum Number of 1's in a Multiplicity List for a Tree" (Honors) 
    Charles Johnson + Rob Hicks, Eric Swartz
  • Fangyi Xu, "" (Honors) 
    Gexin Yu + Catherine Forestell, Junping Shi

2014-15

  • Owen Hill, (Honors)
    Charles Johnson + Gexin Yu and Marc Sher
  • Heather Hoskins, (Honors) 
    Gexin Yu + Rex Kincaid and Marguerite Mason
  • Eric Wityk, (Honors)
    Charles Johnson + Sean Tarter, Anke van Zuylen

2013-14

  • Stephen Cameron
  • Ryan Gryder, (Honors) 
    Sarah Day + Drew LaMar, Rex K. Kincaid, Junping Shi
  • James Janopaul-Naylor, (Honors) 
    Ryan Vinroot + Paul Heideman, Gexin Yu
  • Catherine King, (Honors) 
    Sarah Day + Drew LaMar, Mark Brush, Lawrence Leemis

2012-13

  • Kiah Hardcastle, (Honors) 
    Gregory Smith + Sarah Day, Larry Leemis, Seth Weinberg
  • Daniel J. Luckett, (Honors)
    Tanujit Dey + Ross Iaci, Drew LaMar, Lawrence Leemis 
  •  Tyler Moran, (Honors)
    Ilya Spitkovsky + Charles Johnson, Ryan Viinroot, Donald Campbell  
  • Allison Oldham, (Honors) 
    Gexin Yu + Rex Kincaid, Lisa Anderson
     

2011-12

  • Timothy Becker, "" (Honors)
    Leah Shaw + Romuals Lipcius, Junping Shi, Ryan Vinroot 
  • Matthew Becker, "" (Honors)
    Junping Shi + Leah Shaw, Daniel Vasiliu, Gexin Yu 
  • Allison Corish, "" (Honors) 
    Sarah Day + Drew LaMar, Rex Kincaid, Gregory Smith 
  • Zachary Gates, "" (Honors) 
    Ryan Vinroot + Wouter Deconinck, Gexin Yu 
  • Patrick King, "" (Honors)
    Junping Shi + Joshua Erlich, Daniel Vasiliu, Gexin Yu 
  • Sarah Kunkler, "" (Honors) 
    Rex Kincaid + Drew LaMar, Michael Lewis, David Phillips  
  • Timothy McDade, "" (Honors)
    Junping Shi + Robert Lewis, Romuald Lipcius, Leah Shaw 
  • Jeffrey Soosiah, "" (Honors) 
    Gexin Yu + Weizhen Mao, Ryan Vinroot 
  • Luis Valentin, "" (Honors)
    Gexin Yu + Virginia Torczon, Ryan Vinroot
  • Brian Waldman, "" (Honors)
    Jianjun Tian + Paul Heideman, Robert Lewis, Junping Shi 
  • Nicholas Woods, "" (Honors) 
    Vladimir Bolotnikov + Joshua Gert, Ilya Spitkovsky, Jianjun Tian 

2010-11

  • Charles Albert, "" (Honors)
    Gexin Yu + Ryan Vinroot, Virginia Torczon
  • Ariel Cukierman, (Honors)
    Gexin Yu + Ilya Spitkovsky, Chris Carone
  • Yael Gilboa, (Honors)
    Vladimir Bolotnikov + Ilya Spitkovsky, Leiba Rodman, Julie Agnew
  • Benjamin Holman, (Honors)
    Sarah Day + Junping Shi, Michael Lewis, Leah Shaw
  • Matthew Peppe, (Honors)
    Gregory Smith + Junping Shi, Leah Shaw
  • Georgia Pfeiffer, (Honors)
    Sarah Day + Junping Shi, Larry Leemis, Matthias Leu
  • Olivia Walch, (Honors)
    Charles Johnson + Ilya Spitkovsky, Josh Erlich
  • Dian Yang, (Honors)
    Charles Johnson + Ryan Vinroot, John Delos

2009-10

  • Michael Essman, (Honors)
    Junping Shi + Chi-Kwon Li, Robert Lewis, Justin May
  • Aaron Herman, (Honors)
    Chi Kwong Li + Robert Lewis, David Armstrong
  • William Jordan-Cooley, (Honors)
    Junping Shi + Rex Kincaid, Romulad Lipcius, Leah Shaw, Jian Shen
  • Yuanyuan Liu, (Honors)
    Junpink Shi + Olivier Coibion, Lawrence Leemis, Jianjun Paul Tian
  • Austin Powell, (Honors)
    David Phillips + Robert Lewis, Rex Kincaid, Virginia Torczon
  • Patrick Steele, (Honors)
    Tanujit Dey + David Phillips, Rex Kincaid, Larry Leemis, Carlisle Moody
  • Andrew Wilcox, (Honors)
    Tanujit Dey + Chi-Kwong Li, Larry Leemis, Donald Campbell
  • Harold Williams II, (Honors)
    Gexin Yu + Chi-Kwong Li, Christopher Abelt

2008-09

  • Kassie Archer, (Highest Honors)
    Sarah Day + David Lutzer, Michael Lewis, John Delos
  • Sean Clark, (Highest Honors)
    Chi-Kwong Li + Leiba Rodman, Ryan Vinroot, Shiwei Zhang
  • David Gould, (Highest Honors)
    Sarah Day + Tanjuit Dey, Junping Shi, Dan Cristol
  • Daniel Hariprasad, (Highest Honors)
    Junping Shi + Jianjun Paul Tian, Michael Lewis, Greg Smith
  • Jacob Hill, (High Honors)
    David Lutzer + Vladimir Bolotnikov, George Rublein, Laura Ekstrom
  • Jennifer Mahle, "Quantum Error Correction and the Joint Higher Rank Numerical Range" (High Honors)
    Chi-Kwong Li + Leiba Rodman, David Phillips, Drew Lamar
  • Brian Paljug, (High Honors)
    Sarah Day + C.K. Li, David Phillips, Weizhen Mao
  • Carolyn Troha, (High Honors)
    Jianjun Tian + David Lutzer, Ryan Vinroot, Vassiliki Panoussi
  • Elizabeth Truelove, (Highest Honors)
    Robert Lewis + Rex Kincaid, Dan Cristol
  • Niha Zubair, (Highest Honors)
    Sarah Day + Tanjuit Dey, Junping Shi, Paul Heideman

2007-08

  • Tanner Crowder, "A Study of Genetic Code by Combinatorics and Linear Algebra Approaches" (Highest Honors)
    Chi-Kwong Li + Sarah Day, Jianjun Paul Jian, Margaret Saha
  • Paul McMichael, "Multiplicity Lists for Classes of Hermitian Matrices whose Graph is a Certain Tree" (Highest Honors)
    Charles Johnson + Ilya Spitkovsky, Marc Sher
  • Lauren Merrill, "A Survey of Social Choice Failures: Majority and Borda Rules" (Highest Honors)
    Charles Johnson + Laurence Leemis, Don Campbell
  • Jonathan Nuckols, "Trees and the Implicit Construction of Eigenvalue Multiplicity Lists" (Highest Honors)
    Charles Johnson + Leiba Rodman, George Rublein, John Morreall
  • Evan Saltzman, "Multivariate Nonhomogeneous Poisson Processes" (Highest Honors)
    Lawrence Leemis + John Drew, Don Campbell

2006-07

  • Katherine Benedetto, "Polyomino Tiling Graphs" (Highest Honors)
    Nicholas Loehr + Vladimir Bolotnikov, Weizen Mao
  • Katherine Field, "Counting Hessenberg Matrices" (High Honors)
    David Lutzer + Nicholas Loehr, Virginia Torczon
  • Abraham Isgur, "Almoist Periodic Factorization and Applications to the Spectral Theory of Toeplitz Operators" (Highest Honors)
    Ilya Spitkovsky + Vladimir Bolotnikov, Mark Sher
  • Hakan Seyalioglu, "Exponential Attacks on Blockcipher Families" (Highest Honors)
    Moses Liskov + George Rublein, Nicholas Loehr

2005-06

  • Kevin Duke, "Domain Theory: Modeling Generalized Ordered Modifications of the Real Line" (Highest Honors)
    David Lutzer + Vladimir Bolotnikov, Nahum Zobin, Steve Knudson
  • Michael Holroyd, "Synchronizability and Connectivity of Discrete Complex Systems" (High Honors)
    Rex Kincaid + Sebastian Schreiber, Christopher del Negro
  • Joshua Link, "The Presence of Triangles in Patterns with Given Minimum Risk" (Highest Honors)
    Charles Johnson + David Lutzer, Nick Loehr, Marc Sher
  • David Rose, "Minimal Length Uncertainty and the Quantum Mechanics of Non-Commutative Space-Time" (Highest Honors)
    Ilya Spitkovsky + David Lutzer, Vladimir Bolotnikov, Chris Carone
  • Matthew Ruprecht
    Robert Lewis
  • Paul Smith, "Boundary Nevanlinna-Pack Interpolation for Generalized Nevanlinna Functions" (Highest Honors)
    Vladimir Bolotnikov + David Lutzer, Ilya Spitkovsky, Bill Cooke

2004-05

  • Kristina Hofman
    Michael Trosset + Michael Lewis, Evgenia Smimi