Undergraduate research students advised by Junping Shi



Undergraduate students (in William and Mary unless otherwise specified)

2013-current





Chengli Huang (class of 2019, Mathematics)
support: Charles Center Honors Fellowship

Affiliation after graduation: Microstrategy
Honors Thesis: A Mathematical Study of Competition and Adoption of Two Consumer Products
Committee: Junping Shi, Anh Ninh, Dan Runfola



Christopher Hambric (class of 2018, Mathematics)
(jointly with Chi-Kwong Li)
support: NSF-EXTREEMS-QED (2017)

Affiliation after graduation: PhD student (Mathematics) at Lehigh University
Honors Thesis: Potential Stability of Matrix Sign Patterns
Committee: Junping Shi, Ryan Vinroot, Don Campbell,

Presentation: poster presentation in 2017 Joint Mathematics Meeting (Jan/2017),  oral presentation in SUMS 2017, 2018 Joint Mathematics Meeting (Jan/2018)

Gabrielle Tauscheck (class of 2019, Mathematics)
(jointly with Chi-Kwong Li)
support: NSF-EXTREEMS-QED (2017)

Affiliation after graduation: PhD student (Mathematics) at University of South Carolina
Topic: 2*2 matrix stability

Presentation: poster presentation in SUMS 2017, 2018 Joint Mathematics Meeting (Jan/2018)

Yiyang Liu (class of 2018, Mathematics/Physics)
(jointly with Chi-Kwong Li)
Support: Charles Center summer research fellowship

Affiliation after graduation: PhD student (Applied mathematics) at University of Michigan
Topic: 3*3 matrix stability

Presentation: poster presentation in 2018 Joint Mathematics Meeting (Jan/2018), 

Xiang Liu (class of 2017, CAMS)
Support: Charles Center Honors Fellowship

Affiliation after graduation:
Honors Thesis: Mathematical Studies of Optimal Economic Growth Model with Monetary Policy
Committee: Junping Shi, Rex Kincaid, Carl Moody

Xin Zou (class of 2018, Mathematics/Computer Science)
Support: Charles Center Honors Fellowship

Affiliation after graduation: MS student (computer science) at Carnegie Mellon University
Honors Thesis: A Mathematical Model of Economic Growth of  Two Geographical Regions
Committee: Junping Shi, Vladimir Boloknilov, Evgenia Smirni, Gexin Yu

Presentation: poster presentation in 2018 Joint Mathematics Meeting (Jan/2018), 

Mikela Dockery (class of 2018, Virginia State University)
(jointly with Jing Zhang, Leah Shaw)
support: NSF-EXTREEMS-QED (2017)

Affiliation after graduation: IBM
Topic:

Jasper Short (class of 2019, Virginia State University)
(jointly with Zhifu Xie, Leah Shaw)
support: NSF-EXTREEMS-QED (2016)
Topic:

Yi Zhang (class of 2017, Mathematics/Environmental Studies)
(jointly with Leah Shaw, Rom Lipcius)
Support: NSF (2016, 2017)

Affiliation after graduation: PhD student (Environmental Engineering) at California Institute of Technology
Topic: A Differential Equation Model on Stage-Structured Oyster Population and Its Implications in Oyster Restoration
Presentation: presentation in Washington area undergraduate workshop (2017)
Publication:

Mayee Chen (high school)

Affiliation after graduation: BS student at Princeton University, PhD student (Computer Science) at Stanford University
Topic: Effect of rotational grazing on plant and animal production
Presentation: poster presentation in 2014 Joint Mathematics Meeting (Jan/2014)
Publication: Chen, Mayee, Shi, Junping, Effect of rotational grazing on plant and animal production. Math. Bios. Engi. (MBE) 15 (2018), no. 2, 393--406.

Maggie Swift (class of 2017, Mathematics)
(jointly with Leah Shaw)
Support: NSF (2015)

Affiliation after graduation: IBM consulting, PhD student (Biology) at Duke University
Topic:
Presentation: poster presentation in 2016 Joint Mathematics Meeting (Jan/2016),  presentation in Washington area undergraduate workshop (2017)
Publication:

Jingyi Zhou (class of 2016, Mathematics)
(jointly with Leah Shaw, Rom Lipcius)
Support: NSF (2014)

Affiliation after graduation: DC Energy, MS student (data science) at Columbia University
Topic: A Differential Equation Model on Stage-Structured Oyster Population and Its Implications in Oyster Restoration
Presentation: presentation in Washington area undergraduate workshop (2016)
Publication:

Kristina Kelly (class of 2017, Mathematics)
(jointly with Larry Leemis)
Support: NSF-EXTREEMS-QED (2015), Monroe Fellowship (2016)

Affiliation after graduation: Sageworks
Topic:

Haomiao Li (class of 2016, Mathematics)
Support: NSF (2014)

Affiliation after graduation: MS student in Statistics, Yale University;
Topic: Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management

Publication: Cui, Renhao; Li, Haomiao; Mei, Linfeng; Shi, Junping, Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management. Disc. Cont. Dyna. Syst. B. 22 (2017), no. 3, 791--807.

Wade Hobson (class of 2016, Mathematics/Physics)
(jointly with Leah Shaw, Rom Lipcius)
Support: NSF (2014)

Affiliation after graduation: PhD student in Physics, University of Maryland
Topic:


2011-2013

Nicholas Ducharme-Barth (class of 2013, Mathematics)
(jointly with Leah Shaw, Rom Lipcius)
Support: NSF-CSUMS (2012), NSF (2013)

Affiliation after graduation: PhD student in marine science, University of Florida (2013-2018), Fisheries Scientist at Pacific Community-SPC
Topic: Harvesting Dynamics in Oyster Reef Sedimentation Model

Presentation: presentation in Washington area undergraduate workshop (2013)

Wei Xia (class of 2013, Mathematics and Computer Science)
(jointly with Gexin Yu)
Support: NSF (2012)

Affiliation after graduation: PhD student in industrial engineering, Lehigh University
Topic: Further studies in eigenvalues of quantum graphs

Matt Becker (class of 2012, Mathematics)
(jointly with Leah Shaw)
Support: NSF-CSUMS (2010), NSF (2011)

Affiliation after graduation: PhD student in applied mathematics, Rice University (2012-2018), Senior Staff at Johns Hopkins University Applied Physics
Honors Thesis: Synchronous Oscillatory Solutions in a Two Patch Predator-Prey Model
Committee: Junping Shi, Leah Shaw, Daniel Vasiliu, Gexin Yu

Presentation: poster presentation in 2011 Joint Mathematics Meeting (Jan/2011) poster presentation in 2012 Joint Mathematics Meeting (Jan/2012)
presentation in Washington area undergraduate workshop (2012)

Tim Becker (class of 2012, Mathematics)
(jointly with Leah Shaw, Rom Lipcius)
Support: NSF-CSUMS (2010), Charles Center Honors Fellowship (2011)

Affiliation after graduation: PhD student in applied mathematics, University of Maryland, College Park (2012-2017),
Honors Thesis: A Model for Blue Crab Population in the Chesapeake Bay
Committee: Leah Shaw, Rom Lipcius, Junping Shi, Ryan Vinroot

Presentation: poster presentation in 2011 Joint Mathematics Meeting (Jan/2011)
poster presentation in 2012 Joint Mathematics Meeting (Jan/2012)
presentation in Washington area undergraduate workshop (2012)

Patrick King (class of 2013, Mathematics and Physics)
Support: NSF-CSUMS (2011)

Affiliation after graduation: PhD student in Astronomy, University of Virginia

Honors Thesis: The Laplacian on Isotropic Quantum Graphs: Solutions and Applications
Committee: Junping Shi, Joshua Erlich, Daniel Vasiliu, Gexin Yu

Presentation: poster presentation in 2012 Joint Mathematics Meeting (Jan/2012)
presentation in Washington area undergraduate workshop (2012)


Tim McDade (class of 2012, Mathematics and Chinese)
(jointly with Leah Shaw, Rom Lipcius)
Support: NSF-CSUMS (2011)

Affiliation after graduation: Microsoft (2012-2018), PhD student (political sci) at Duke University
Honors Thesis: Analysis and Simulation of an Optimal Control Model of an Oyster Population Displaying an Allee Effect
Committee: Junping Shi, Robert Lewis, Rom Lipcius, Leah Shaw 

Before 2011
Ruoyan Sun (class of 2013, Economics and History)
(jointly with Leah Shaw)
Support: Charles Center BioMath Fellowship (2010), HHMI (2010), NSF-CSUMS (2010), NSF-UBM (2010)

Affiliation after graduation: MS student (public health) at John Hopkins University (2013-2014), PhD student (public health) at University of Michigan (2014-2019), Assistant Professor (Public health) at University of Alabama at Birmingham
Topic: Global stability in epidemic models

Presentation: poster in 4th International Conference on  Recent Advances in Applied Dynamical Systems, Jinhua, China, (June 2010), presentation in GMU-WM 2011 spring Workshop (4/16/2011)
Publication:
1. Sun, Ruoyan, Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence. Comput. Math. Appl. 60 (2010), no. 8, 2286–2291.
2. Sun, Ruoyan; Shi, Junping Shi, Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates. Appl. Math. Comput. 218, (2011), no. 2, 280–286.

Yuanyuan Liu (class of 2010, Mathematics and Economics)
Support: Charles Center BioMath Fellowship (2009)

Affiliation after graduation: PhD student (Economics) at Georgetown University (2010-2017), Assistant Professor (Economics) at Smith College
Honor Thesis: "The Dynamical Behavior of a Two Patch Predator-Prey Model"
Committee: Junping Shi(adviser), Olivier Coibion, Lawrence Leemis, Jianjun Paul Tian

Presentation: presentation in GMU-WM 2010 spring Workshop (4/17/2010),
Publication:

Will Jordan-Cooley (class of 2010, Mathematics)
(jointly with Rom Lipcius, Leah Shaw, Jian Shen)
Support: NSF-CSUMS (2009), NSF-UBM (2009)

Affiliation after graduation: MS student in education, Columbia University
Honor Thesis: "Bistability in Differential Equation Model of Oyster Population and Sediment Volume"
Committee: Junping Shi(adviser), Rex Kincaid, Romulad Lipcius, Leah Shaw, Jian Shen

Presentation: poster presentation in 2010 Joint Mathematics Meeting (Jan/2010), 2010 Harvey Mudd College Mathematics Conference on the Mathematics of Environmental Sustainability and Green Technology", presentation in GMU-WM 2010 spring Workshop (4/17/2010),
Publication: Jordan-Cooley, William C.; Lipcius, Romuald N.; Shaw, Leah B. Shaw; Shen, Jian; Shi, Junping, Bistability in a differential equation model of oyster reef height and sediment accumulation. J. Theor. Biol. 289, (2011), no.1, 111.

Michael Essman (class of 2010, Mathematics and Economics)
Support: NSF-CSUMS (2009), NSF-UBM (2009)

Affiliation after graduation: Energy Analyst, North American Power


Honor Thesis: "Mathematical and Numerical Analysis of Coupled Nonlinear Schrodinger Equations"
Committee: Junping Shi(adviser), Chi-Kwon Li, Michael Lewis, Justin May

Presentation: GMU-WM 2009 Spring Workshop (3/21/2009)
poster presentation in 2010 Joint Mathematics Meeting (Jan/2010)
poster presentation in 4th International Conference on Recent Advances in Applied Dynamical Systems, Jinhua, China (June 2010)
Publication: Essman, Michael; Shi, Junping, Bifurcation diagrams of coupled Schrödinger equations. Appl. Math. Comput. 219 (2012), no. 8, 3646--3654.

Daniel Hariprasad (class of 2009, Mathematics)
Support: NSF-UBM (2008), NSF-CSUMS (2009)

Affiliation after graduation: PhD student in applied mathematics, University of Arizona


Honor Thesis: "Three Pool Model of Calcium Signaling"
Committee: Junping Shi(adviser), Jianjun Paul Tian, Michael Lewis, Greg Smith

PresentationGMU-WM 2009 Spring Workshop (3/21/2009)


Jiayin Jin (class of 2009, Harbin Institute of Technology, Mathematics)

Affiliation after graduation: PhD student in mathematics, Michigan State University
Presentation:  2008 Harbin Differential Equation Conference (Dec/2008)
Publication: Jin, Jiayin; Shi, Junping; Wei, Junjie; Yi, Fengqi, Bifurcations of Patterned Solutions in Diffusive Lengyel-Epstein System of CIMA Chemical Reaction. Rocky Moun. J. Math. 43 (2013), No. 5, 1637--1674.

Kristina Little (class of 2006, Mathematics)

Current affiliation: Manager in BioStatistics, Illumina

Publication:  Shi, Junping; Xie, Zhifu; Little, Kristina, Cross-diffusion induced instability and stability in reaction-diffusion systems, J. Appl. Anal. Comput. 1 (2011), no. 1, 95–119.