UCR

Department of Mathematics



News


Dr. Bryan Carrillo, UCRUCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Bryan Carrillo

We would like to congratulate one of our recent graduates, Bryan Carrillo, who successfully defended his Ph.D. dissertation in Spring 2019. Bryan is a first generation college student who worked under the supervision of Dr. Qi Zhang and his dissertation was titled “Vanishing of Certain Axially-Symmetric Periodic D-solutions to the Stationary Navier-Stokes Equations”.

Bryan’s work is on proving the Liouville Problem for the Homogenous Stationary Navier-Stokes equations, which states that the only divergence-free velocity solution that vanishes at infinity and with finite Dirichlet integral is the trivial, identically zero solution. He has co-authored two papers “Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations,” and “Decay and vanishing of some D-solutions of the Navier-Stokes equations,” with Xinghong Pan, Qi S. Zhang, and Na Zhao. In these papers, they proved some a priori estimates for the velocity and vorticity and the Liouville Problem in two settings: when the solution is axially symmetric and periodic in the vertical variable and in the full three-dimensional slab case with Dirichlet boundary conditions. In his dissertation, he generalized the results in “Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations,” to allow for certain growth in the Dirichlet integral.

He has presented his work at the MAA MathFest in 2018 at Denver, Colorado, the MAA Southern California-Nevada Fall Section Meeting in 2018 at Claremont, California, and the Joint Mathematics Meeting in 2019 at Baltimore, Maryland.

In addition to research, Bryan has participated in various teaching and mentoring opportunities. Bryan was one of the instructors for the real analysis portion of Advanced Mathematics Program in 2018 and its pilot program in 2017. He developed curriculum designed to introduce topics in real analysis to UCR undergraduate students and create a support network that the students can utilize for their upcoming upper-division classes. He mentored two first-year high school students from Martin Luther King High in Riverside, California to enter the annual Science and Engineering Fair, which brings various K-12 students from 30 schools in the Riverside United School District. The project was on random walks, diffusion, and Brownian motion and the students were awarded a prize for their poster. Bryan also mentored UCR undergraduates in projects about the Buffon Needle Problem on the plane, sphere, and Poincare disk, and random walks in the p-adic setting.

Bryan has accepted a tenure track Mathematics Professor position at Saddleback College, and we would like to wish him all the best in his new mathematical teaching journey.

 

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Dr. Josh Buli, UCRUCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Josh Buli

We would like to congratulate one of our recent graduates, Josh Buli, who successfully defended his Ph.D. dissertation in Winter 2019. Josh worked under the supervision of Dr. Yulong Xing (Ohio State) and Dr. Richard Arnott (UCR Economics). His dissertation was titled "Discontinuous Galerkin Methods for Hyperbolic Systems of PDEs and the Bathtub Model for Traffic Flow". 

During his time in the Department of Mathematics, Josh worked on multiple interdisciplinary research projects with the common themes of computational partial differential equations and mathematical modeling. Two projects involved numerical analysis of Boussinesq water wave equations, and the Aw-Rascle traffic model on networks. In 2015, he started collaboration with Dr. Richard Arnott in Economics working on projects related to traffic congestion and the Bathtub Model of traffic flow, for which he received a one year fellowship from the National Center for Sustainable Transportation (NCST). Josh has 4 articles on this work which culminated in his thesis, which can be found at http://math.ucr.edu/~buli/publications.html. He has also been working with Dr. Mark Alber on mathematical modeling projects related to embolization and deformation of blood clots using the multiphase flow model. 

Earlier this year, Josh presented this research at the 2019 Joint Math Meetings in Baltimore, MD and at the SIAM Computational Science and Engineering (CSE19) Conference in Spokane, WA. He also just returned from Paris, France at the Paris School of Economics, where he presented his collaborative traffic congestion work with Dr. Arnott. Josh also been an active member in the Department of Mathematics, where he has mentored two high school students at Martin Luther King High School in Riverside for the local science fair, and has participated on multiple panels to talk about the Graduate School experience to graduate students in the program.

Josh has accepted a position at The Aerospace Corporation in El Segundo, CA. We wish him all the best on his new journey.

 

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Dr. Christina Knox, UCRUCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Christina Knox

We would like to congratulate one of our recent graduates, Christina Knox, who successfully defended her Ph.D. dissertation in Spring 2019. Christina worked under the supervision of Dr. Amir Moradifam and her dissertation was titled “Inverse Problems on Electrical Networks and in Photoacoustic Tomography”. Christina is the first in her family to enter a doctoral program.

During her residence, Christina has been an active member in the Department of Mathematics. This past year she was the recipient of The Graduate Research Mentorship Programs (GRMP); which are intended to enhance the mentoring of doctoral students during their final years of graduate study. She has served as both the Vice President and Secretary of the Association of Women in Mathematics (AWM) Chapter of UCR. She has also served as the Treasurer in our Graduate Student Chapter of the American Mathematical Society. 

Christina has accepted a Lecturer position in the Mathematics Department at the University of Wyoming. We wish her continued success and all the best in her mathematical voyage.

 

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Dr. Xavier Ramos Olive, UCRUCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Xavier Ramos Olive

We would like to congratulate one of our recent graduates, Xavier Ramos Olive, who successfully defended his Ph.D. dissertation in Spring 2019. Xavier worked under the supervision of Dr. Qi Zhang and his dissertation was titled “Gradient Estimates Under Integral Curvature Conditions”.

Earlier this year, Xavier published his first article in Proceedings of the AMS. He also presented his work on a recent joint paper with Shoo Seto (UCI), Guofang Wei (UCSB) and Qi Zhang (UCR) in the Special Session in Spectral Geometry: The Length and Laplace Spectra of Riemannian Manifolds at the AMS Spring Central and Western Joint Sectional Meeting, and was the Chair of the AMS Contributed Paper Session in Geometry at the 2019 Joint Sectional Meetings.

During his residence, Xavier has been an active member in the Department of Mathematics. Xavier first initiated and organized MathConnections when he was President of the AMS Student Chapter at UCR. MathConnections is a free mathematics conference organized by graduate students, for graduate students. Its goal is to enhance graduate student success by bringing together early career mathematicians from Southern California and surrounding areas working on different fields. Xavier has also been an active member in our Mathematics Graduate Student Association (Math GSA). For the 2017-19 academic year, he was the President of the Math GSA. After stepping down as an officer, he continued in the Math GSA as an active member. Xavier was recently awarded the Vernon A. Kramer Memorial Service Award by the Department of Mathematics at UCR, as well as the International Student Recognition Award by the International Students and Scholars Office at UCR.

Xavier has accepted a Post-Doctoral Scholar position at Worcester Polytechnic Institute in Massachusetts, and we would like to wish him all the best in his new mathematical journey.


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Dr. Zhanar Berikkyzy (right), Dr. Christina Vasilakopoulou (center), Dr. Zhixian Zhu (left)2018/2019 Outstanding Visiting Assistant Professor Awards

The Department of Mathematics is pleased to announce that three Visiting Assistant Professors were awarded this year's Outstanding Visiting Assistant Professor Award within the Department of Mathematics. These Visiting Assistant Professors have done an exceptional job working with and supporting undergraduate students in their math classes. They also exemplify the cooperative and collaborative relationship with our teaching assistants to promote positive experiences and outcomes for our students. Please join us in congratulating Dr. Zhanar Berikkyzy, Dr. Christina Vasilakopoulou and Dr. Zhixian Zhu on this accomplishment.

 

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2018/2019 Outstanding Teaching Awards

On behalf of the Department of Mathematics, the Graduate Program in Mathematics has awarded five Ph.D. students with the 2018-2019 Outstanding Teaching Assistant Awards (OTA).

These graduate students have done an exceptional job working with and supporting undergraduate students in their math classes. Please join us in congratulating Jolene Britton, Daniel Collister, Jonathan Dugan, Michael McNulty, and Alexander Pokorny with this accomplishment.

 

- Dr. Dylan Noack, UCR

UCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Dylan Noack

We would like to congratulate one of our recent graduates, Dylan Noack, who successfully defended his Ph.D. dissertation in Spring 2019. Dylan worked under the supervision of Dr. Bun Wong and his dissertation was titled “A Characterization of Certain Bounded, Convex Domains”.

During his residence, Dylan has been an active member in the Department of Mathematics. He served as the former President of the AMS student chapter at UCR and was the former Secretary of the Math Graduate Student Association (MGSA). He contributed for the inaugural Advanced Mathematics Program (AMP) which is a summer enrichment program that helps prepare mathematics undergraduate students for their core major classes. Dylan has also been a pivotal contributor to Dr. Weisbart and the Math 5A initiative at UCR.

Dylan has accepted a tenure track Mathematics Professor position at Yuba College and we would like to wish him all the best in his new mathematical teaching journey.

 

- Dr. Daniel Cicala, UCR

UCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Daniel Cicala

We would like to congratulate one of our recent graduates, Daniel Cicala, who successfully defended his Ph.D. dissertation in Spring 2019. Daniel worked under the supervision of Dr. John Baez and his dissertation was titled “Rewriting Structured Cospans: A Syntax for Open Systems”.

Following his defense, Daniel will be attending The International Category Theory Conference at the University of Edinburgh, Scotland from July 7th-13th, 2019. He has also been organizing an Applied Category Theory Workshop during Spring 2019 that helps graduate students and established researchers collaborate online for a five-month period and ends with an in-person workshop at Oxford University from July 22nd-26th, 2019.

Daniel has accepted a Visiting Assistant Professor position in the Mathematics Department at the University of New Haven, and we wish him continued success and all the best in his mathematical journey.

 

- Dr. Edward Voskanian, UCR

UCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Edward Voskanian

We would like to congratulate one of our recent graduates, Edward Voskanian, who successfully defended his Ph.D. dissertation in Spring 2019. Edward worked under the supervision of Dr. Michel Lapidus and his dissertation was titled “On the Quasiperiodic Structure of the Complex Dimensions of Self-Seminar Fractal Strings”. Edward’s strong perseverance and resilience has led him to overcome the academic, financial, and personal challenges as a first-time generation student.

Prior to his defense, Edward attended the Spring Central and Western Joint Section meeting where he was invited to give a talk in the Special Session on Geometry, Analysis, Dynamics and Mathematical Fractal Spaces.

Edward has accepted a Visiting Professor position in the Mathematics Department at The College of New Jersey. We wish him and his family continued success and all the best in his mathematical voyage.

 

- Dr. Patricio Gallardo, UCR

Dr. Patricio Gallardo Joins the UCR Mathematics Department

Dr. Patricio Gallardo will join our department as a Visiting Assistant Researcher in 2019-2020. He will then join the Mathematics Department as an Assistant Professor beginning in Summer 2020.

Patricio Gallardo received his Ph.D. in Mathematics from Stony Brook University. He joins the department after postdoctoral work at the University of Georgia and Washington University in St Louis.

Dr. Gallardo's works in Algebraic Geometry. His research focuses on constructing compact families of algebraic varieties, as well as understanding their degenerations, singularities, and combinatorial patterns related to them. He is also interested in applying techniques from moduli theory to other areas such as Hodge theory, representations of quivers, and polytopes.

To learn more, visit his current webpage: http://patriciogallardo.com

 

- Dr. Jia Gou, UCR

Dr. Jia Gou Joins the UCR Mathematics Department

Dr. Jia Gou will join our department as a Visiting Assistant Researcher in 2019-2020.She will then join our department as an Assistant Professor beginning in Summer 2020.

Dr. Jia Gou received her Ph.D. in Mathematics from The University of British Columbia, Vancouver. She joins the department after a postdoc position at the University of Minnesota.

Dr. Gou's research interests are in the areas of mathematical biology and applications of dynamical systems. Her recent research focuses on understanding the growth control mechanisms by constructing and investigating models that describe cell signaling pathways and transport of molecules in tissues. She is also interested in analyzing mathematical models of spatial and temporal phenomena in biology, using techniques such as asymptotics and perturbation methods, and numerical simulations.

 

- Dr. Ryan Moruzzi, UCR

UCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Ryan Moruzzi

We would like to congratulate Ryan Moruzzi, Jr , who successfully defended his Ph.D. dissertation in Winter 2019. Ryan is a first generation college student who worked with Dr. Vyjayanthi Chari on his Ph. D in Representation theory.

His dissertation defense is titled “An Isomorphism of Modules for type Dn”. This spring quarter (2019), following his defense, Ryan hosted a Math Circle for 4th and 5th graders from a local elementary school in the math department for a day of math activities concluding with a campus tour and lunch. He also led the way in organizing a seminar on “Exploring Equity in Mathematics” that creates a space for faculty, visiting assistant professors, and graduate students to come together and have healthy discussions about various topics as they pertain to equity in our mathematical community. He is currently an organizer for USTARS, Underrepresented Students in Algebra and Topology Research Symposium, which holds an annual conference for graduate students to network and share their research. He has encouraged many of our current graduates to attend the upcoming USTARS conference in April.

Ryan has served as an undergraduate research mentor for more than a dozen undergraduate students. He has also been named the 2019 Watkins Commencement Award recipient and will serve as the Student Marshal for Commencement.

Ryan has accepted a Postdoctoral Teaching Fellow position at Ithaca College and we wish him continued success in his mathematical journey and his family a bright future.

For more information, please visit:
Our graduate students mathdept.ucr.edu
Dr. Chari’s research  at  https://www.researchgate.net/profile/Vyjayanthi_Chari
Dr. Ryan Moruzzi, Jr. at https://sites.google.com/view/moruzzi

 

- Dr. Mark Alber UCR

Dr. Mark Alber Appointed Kloosterman Professor at Leiden University

UCR Math Professor Dr. Mark Alber is recently appointed 2019 Kloosterman Professor at the Mathematical Institute, Leiden University, The Netherlands. The Kloosterman Chair is a guest chair occupied yearly for a period of one to two months by a distinguished scholar in mathematics. The Kloosterman Chair is appointed by the Faculty of Science. Previous Kloosterman Professors include, among others, 2015 Yakov G. Sinai, Princeton University, USA; 2009 T. Chinburg, University of Pennsylvania, Philadelphia, USA; 2001 Y. Eliashberg, Stanford University, USA; 1987 H. Brézis, Université Paris VI, Paris, France and 1986 M. Artin, Massachusetts Institute of Technology, Mass., U.S.A.

Dr. Alber will visit the Mathematical Institute in September-October 2019 to give Kloosterman Lecture and to interact with the mathematical and scientific community in the Netherlands.

 

- Dr. Eloísa Grifo UCR

Dr. Eloísa Grifo Joins the UCR Mathematics Department

Dr. Eloísa Grifo will join our department as a Visiting Assistant Researcher in 2019-2020. She will then join our department as an Assistant Professor beginning in summer 2020. 

Eloísa received her Ph.D. at the University of Virginia, and she comes to UCR after a postdoc at the University of Michigan.

Dr. Grifo works in Commutative Algebra. Her research interests include free resolutions, DG algebras, local cohomology, and symbolic powers. She is particularly interested in applying prime characteristic techniques and homological algebra tools to questions that are characteristic free or do not appear homological in nature. Much of her recent research revolves around the subject of symbolic powers, which measure higher order of vanishing on an algebraic variety.

To learn more, visit her current webpage: http://www-personal.umich.edu/~grifo/


- Dr. Heyrim Cho news

Dr. Heyrim Cho Joins the UCR Mathematics Department

Dr. Heyrim Cho joins our department as an Assistant Professor beginning this summer. She received her Ph.D. in Applied Mathematics from Brown University and comes to UC Riverside after postdoctoral work at the University of Maryland, College Park.

Her research interests and activities are in the areas of mathematical biology, scientific computing, and uncertainty quantification. Her recent work includes modeling problems in mathematical oncology to improve anticancer treatment and overcome drug resistance. She also works on developing numerical methods for stochastic systems including high-dimensional stochastic PDEs and stochastic processes. She is interested in modeling multi-scale biological systems driven from genetic data to medical images, and characterizing effects of the underlying uncertainty for comprehensive mathematical modeling and a better understanding of biological mechanisms. 
 
For more details on Dr. Heyrim Cho please visit her current website: https://www.math.umd.edu/~hcho1237/

 

- Dr. Vyjayanthi Chari news

Dr. Vyjayanthi Chari is a Simons Fellow in Mathematics

Through the program: Mathematics and Physical Sciences-Simons Fellows in Mathematics,the Simons Foundation recently funds Dr. Vyjayanthi Chari’s project on “Quantum Affine algebras and their connections with Cluster Algebras and Demazure Flags”.

Supported by this grant, Dr. Chari is invited to participate in the program: http://www.ihp.fr/en/CEB/T1-2020.

She will also be going  to a conference in Australia as an invited speaker: https://sites.google.com/site/ausreptheory/mooloolaba-2020

 

- Mikahl Banwarth-Kuhn, UC Riverside

UCR Math Department is Proud to Announce Our Newest Ph.D. Graduate: Mikahl Banwarth-Kuhn 

We would like to congratulate Mikahl Banwarth-Kuhn on graduating from the Ph.D. Graduate Program in Mathematics this Winter Quarter.

Mikahl Banwarth-Kuhn is a Ph.D. Mathematics student who uses mathematical modeling and computational methods to answer questions in biology. Her work combines multi-scale modeling, intercellular signaling, mechanobiology, scientific computing, uncertainty quantification and numerical analysis to develop computational tools that integrate biological data from experiments and produce predictive simulations that motivate the development of future experiments. She recently defended her dissertation, “Mathematical Model for Studying Combined Effect of Individual Cell Behavior on Developing Tissue Shape in Plants”, under the guidance of her Chairperson and Faculty Advisor, Dr. Mark Alber on February 8th, 2019.

Following her defense, she presented at the 8th Annual Southern California Systems Biology Conference (SCSBS) held at UC Irvine on Saturday, February 9th, 2019. According to their website, “The conference brings together diverse researchers from leading Southern California academic campuses to showcase current research activities and promote collaborative opportunities in all areas of Systems Biology”.  Mikahl presented on a “Novel cell-based model of the generation and maintenance of the shape and structure of the multi-layered shoot apical meristem of Arabidopsis thaliana”.

We would like to congratulate her on successfully completing the Ph.D. program this winter quarter and would like to wish her well in her next position as a Postdoctoral Researcher in the Sindi Lab (Dr. Suzanne S. Sindi) within the Department of Mathematics at UC Merced.

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Dr. John Baez, UC Riverside

Mathematics in the 21st Century, A Seminar

January 8, 2019: John Baez – Mathematics in the 21st Century

Abstract: The global warming crisis is part of a bigger transformation in which humanity realizes that the Earth is a finite system and that our population, energy usage, and the like cannot continue to grow exponentially. If civilization survives this transformation, it will affect mathematics - and be affected by it - just as dramatically as the agricultural revolution or industrial revolution. We should get ready!

For now you can look at these slides and videos of related talks:

 

For more of Dr. John Baez’s activities, please visit his website.


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