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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

2025-2026

• Caroline Elizabeth Cashman,  "" (Honors) 

  Gexin Yu + Eric Swartz, Laurie Wolf

• James Nicholas Elmore,  "" (Honors) 

  Eric Swartz + Larry Leemis, Williams D'Alessandro

• Merryn Elspeth Grindstaff,  "" (Honors) 

  Leah Shaw + Mainak Patel, Romuald Lipcius

• Yihan Jin,  "" (Honors) 

  Guannan Wang + Yuming Sun, Robert Michael Lewis

• Celia Noel Kerr,  "" (Honors) 

  Melanie Ferreri + Ryan Vinroot, Lisa Anderson

•  Marina Havran Lynch,  " (Honors) 

  Melanie Ferreri + Eric Swartz, David Grandis

• Archana Latha Parameswaran,  "" (Honors) 

  Gexin Yu + Melanie Ferreri, Andrew Jackura

• Joseph Anthony Reed,  "" (Honors) 

  Mainak Patel + Sarah Day, Lisa Landino, Greg Conradi-Smith

• Eileen Sawyer,  "" (Honors) 

  Melanie Ferreri + Eric Swartz, Seth Aubin

• Xuzhong Wang,  " (Honors) 

  Gexin Yu + Daniel Cranston, Haipeng Chen, Yanfu Zhang, Chuangtian Guan

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