Positions
- Visiting Researcher, Environment and Sustainability Institute, The University of Exeter at Cornwall, Aug 2024 – Dec 2024
- Associate Professor, Department of Mathematics & Statistics, The College of New Jersey, Aug 2022 – present
- Assistant Professor, Department of Mathematics & Statistics, The College of New Jersey, Aug 2017 – Aug 2022
Education
- Ph. D. in Mathematics, Pennsylvania State University, University Park, PA Aug 2012 – Dec 2017
Adviser: Dr. Leonid Berlyand - B. S. in Mathematics , Bucknell University, Lewisburg, PA Aug 2008-May 2012
Adviser: Dr. Peter A. Brooksbank- Completed the requirements for Bachelor of Arts in Spanish
Research Interests
- Modeling, analysis, and numerical simulation of dynamical systems; applications to mathematical biology
Grants, awards, and honors
- Sabbatical Leave, TCNJ (Aug 2024 – June 2025)
- NSF DMS-2406942 Collaborative Research Grant, co-PI (Aug 2024 – Aug 2027)
- Award for Distinguished College or University Teaching of Mathematics, MAA NJ Section (March 2024)
- SIAM Early Career Travel Award, SIAM (May 2021)
- Distinguished Teacher Award, TCNJ Math & Stat Club (May 2018)
- NJ-NExT, AMS, NJ Section (Oct 2017)
- Project NExT (New Experiences in Teaching), AMS (July 2017)
- ZZRQ Award for Graduate Students, Pennsylvania State University (April 2017)
- for “outstanding achievement by a doctoral candidate who has contributed to the sense of community within the department”
- “Topics in Applied Mathematics: Recent Advances and New Trends” outstanding poster award, Carnegie Mellon University (July 2016)
- “Micro and Macro Systems in Life Sciences” outstanding poster award, Stefan Banach International Mathematical Center (June 2015)
- “Math Matters, Apply It!” Contest. “The math behind noise removal of images” (2nd place), SIAM (Feb 2015)
- National Defense Science and Engineering Graduate (NDSEG) Fellowship (Aug 2014-May 2017)
- Teaching with Technology Certification, Pennsylvania State University (Aug 2014)
Teaching Experience
- The College of New Jersey
- Seminar in Dynamical Systems (Fall ’25)
- Capstone (Spring ’22, Spring ’24)
- Functional Analysis (Fall ’23)
- Partial Differential Equations (Fall ’20, Fall ’22)
- Differential Equations (Spring ’20, Fall ’23)
- Real Analysis (Spring ’18, Spring ’19, Spring ’21, Fall ’22)
- Introduction to Mathematical Computing (Fall ’23, Fall ’25)
- Linear Algebra (Fall ’17, Fall ’21, Spring ’23)
- Calculus B (Spring ’24)
- Calculus A (Fall ’17, Fall ’18, Fall ’19, Fall ’20, Spring ’22)
- Pennsylvania State University
- Millennium Scholars Program Summer Bridge Teaching Assistant (Summer 2016)
- TRIO Upward Bound Instructor (Summer 2015)
- Ritner Experience Tutor (Fall 2014)
- Trigonometry and analytic geometry (Fall 2013)
- College algebra (Spring, Summer 2013)
Publications/preprints
* indicates undergraduate co-author
- Mixed higher-order coupling stabilizes new states, submitted. (with Per Sebastian Skardal, Federico Battiston, Maxime Lucas, Giovanni Petri, Yuanzhao Zhang)
- The Kuramoto model on the Sierpinski gasket, submitted. (with Georgi Medvedev)
- Harmonic maps from post-critically finite fractals to the circle, submitted . (with Georgi Medvedev)
- Bounded confidence modelling predicts the effect of group work on student math anxiety, Chaos 35 (2025). (with Katherine Toms*, Maya Williams*)
- Bifurcations and patterns in the Kuramoto model with inertia, Journal of Nonlinear Science, 33 (2023). (with Hayato Chiba, Georgi Medvedev)
- A global bifurcation organizing rhythmic activity in a coupled network, Chaos, 32 (2022). (with Georgi Medvedev, Andrew Phillips*)
- Chimeras unfolded, Journal of Statistical Physics, 186 46 (2022). (with Georgi Medvedev)
- Instability of mixing in the Kuramoto model: from bifurcations to patterns, Pure and Applied Functional Analysis, (2022). (with Hayato Chiba, Georgi Medvedev)
- Stability of twisted states on lattices of Kuramoto oscillators, Chaos, 31 (2021) 103106. (with Monica Goebel*, Sofia Stepanoff*)
- Stability of clusters in the second–order Kuramoto model on random graphs, Journal of Statistical Physics, 182 2 (2021). (with Georgi Medvedev)
- Dynamics of a cell motility model near the sharp interface limit, Journal of Theoretical Biology, (2020). (with Nicolas Bolle*)
- Fluid-Structure Interaction for the Classroom: Speed, Accuracy, Convergence, and Jellyfish!, (submitted). (with Nicholas A. Battista)
- Bifurcations in the Kuramoto model on graphs, Chaos, 28 (2018) 073109. (with Hayato Chiba, Georgi Medvedev)
- Uniqueness and traveling waves in a cell motility model, Discrete and Continuous Dynamical Systems – B, 22 (2018). (with Peng Zhang)
- Minimal model of crawling cell motility on patterned substrates, Phys. Rev. E 96 (2017) 052408. (with Leonid Berlyand, Igor S. Aranson)
- On an evolution equation in a cell motility model, Physica D: Nonlinear Phenomena, 318-319 (2016) 12- 25 (with Leonid Berlyand, Volodymyr Rybalko, Lei Zhang)
- Extension of a proof of the Ramanujan congruences for multipartitions, Ramanujan Journal, (2016). doi:10.1007/s11139-016-9817-x (with Oleg Lazarev, Ben Reid, Holly Swisher)
- A periodic approach to plane partition congruences, Integers, 16 (2016) (with James A. Sellers, Holly Swisher)
- On groups with a class-preserving outer automorphism, Involve, 7(2) (2013) 171-179. (with Peter A. Brooksbank)
Conference Presentations
- SIAM Conference on Applications of Dynamical Systems May 2025
- Denver, CO
- Minisymposium co-organizer/invited talk: ”Dynamical Systems on Networks and Fractals”
- Dynamics Days January 2025
- Denver, CO
- Contributed poster: ”Twisted states on fractals”
- MAA MathFest August 2024
- Indianapolis, IN
- Invited talk: ”Trends in Mathematical and Computational Biology”
- Project NExT Green ’23 workshop leader: ”Creating a Classroom Environment that Empowers Students to Learn Independently”
- MAA MathFest August 2023
- Tampa, FL
- Invited talk: ”Recent Advances in Mathematical and Computational Biology, Highlighting Contributions from Undergraduate Researchers”
- SIAM Conference on Applications of Dynamical Systems May 2023
- Portland, OR
- Minisymposium co-organizer/invited talk: ”Graphon Systems – Games, Patterns and Signals”
- AMS Fall Eastern Section Meeting October 2022
- Amherst, MA
- Invited talk: ”Special Session on Game-Theoretic and Agent-Based Approaches to Modeling Biological and Social Systems ”
- SIAM Annual Meeting July 2022
- Pittsburgh, PA
- Invited talk: ”Mathematics of Interacting Systems with Applications to Biology and Medicine”
- SIAM Conference on Applications of Dynamical Systems May 2021
- Virtual
- Contributed talk
- AIMS Conference Series on Dynamical Systems and Differential Equations June 2020 (cancelled due to COVID-19 pandemic)
- Atlanta, GA
- Minisymposium co-organizer/invited talk: “Collective dynamics in systems of coupled oscillators”
- Conference on Multiscale Problems in Materials and Biology June 2019
- The Fields Institute, Toronto, Canada
- Invited talk
- SIAM Conference on Applications of Dynamical Systemss May 2019
- Snowbird, UT
- Minisymposium co-organizer/invited talk: “Interacting dynamical systems on graph”
- MAA Mathfest August 2018
- Denver, CO
- MAA Invited Paper Session: “Modeling Biological Rhythms”
- Joint Mathematics Meetings January 2018
- San Diego, CA
- MAA General Contributed Paper Session on Applied Mathematics
- SIAM Conference on Analysis of Partial Differential Equations December 2017
- Baltimore, MD
- Contributed talk
- Center for Interdisciplinary Math (Penn State University): “Frontiers of Interdisciplinary Mathematics” May 9, 2017
- State College, PA
- Contributed talk
- Topics in Applied Nonlinear Analysis: Recent Advances and New Trends July 2016
- Carnegie Mellon University, Pittsburgh, PA
- Winner : Outstanding Poster Award
- Workshop on Models in Materials Science and Biology March 2016
- Renmin University of China, Beijing, China
- Invited talk
- Micro and Macro Systems in Life Sciences June 2015
- Stefan Banach International Mathematical Center, Bedlewo, Poland
- Winner: Outstanding Poster Award
- Center for Interdisciplinary Math (Penn State University): Workshop on Interdisciplinary Mathematics May 2015
- Williamsport, PA
- Contributed talk and poster
- School “Around vortices: From continuum to quantum mechanics” March 2014
- IMPA, Rio de Janeiro, Brazil
- Contributed talk and poster
Colloquia
- Mathematics Seminar June 27, 2024
- University of Exeter at Cornwall, Cornwall, England
- Mathematics in Computation Seminar June 27, 2024
- Oak Ridge National Laboratory, Oak Ridge, TN
- PDE/Applied Math Seminar May 31, 2024
- Drexel University, Philadelphia, PA
- Department of Mathematics & Statistics Colloquium Nov 9, 2021
- The College of New Jersey, Ewing, NJ
- PDE and Applied Math Seminar Feb 17, 2021
- University of California Riverside, Riverside, CA (virtual)
- Department of Mathematical Sciences Colloquium Sep 18, 2020
- Appalachian State University, Boone, NC (virtual)
- Mathematical Biology Seminar Nov 19, 2019
- New Jersey Institute of Technology, Newark, NJ
- Analysis, Logic and Physics Seminar Oct 11, 2019
- Virginia Commonwealth University, Richmond, VA
- Student Colloquium Series Feb 28, 2019
- Bucknell University, Lewisburg, PA
- School of Science Colloquium April 24, 2018
- The College of New Jersey, Ewing, NJ
- Department of Mathematics Colloquium Nov 14, 2017
- Rowan University, Glassboro, NJ
- MRSEC: IRG2 Motors Meeting Seminar Apr 4, 2017
- Penn State University, State College, PA
- Student SIAM Chapter Seminar Feb 24, 2017
- Drexel University, Philadelphia, PA
- Mathematics Department Faculty Seminar Series March 24, 2016
- Bucknell University, Lewisburg, PA
- Student Colloquium Series March 24, 2016
- Bucknell University, Lewisburg, PA
- Combinatorics/Partitions Seminar Series Apr 16, 2013
- Pennsylvania State University, University Park, PA