# overview
I have research interests in algebraic, geometric, and combinatorial approaches to mathematical biology; biochemical

dynamical systems; neural coding; algebraic statistics; and genomics.

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
1.1 Normal Biological Development And Functioning

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3102 Bioinformatics And Computational Biology

# keywords[]
1.1 Normal Biological Development And Functioning

# educationAndTraining[].organization.label
University of Chicago - (Chicago, Illinois, United States)

# educationAndTraining[].organization.label
University of California, Berkeley - (Berkeley, California, United States)

# awardsAndHonors[].label
Faculty Early Career Development (CAREER) Program

# publications[].label
Identifiability of linear compartmental models: the effect of moving inputs, outputs, and leaks

# publications[].label
Absolute concentration robustness: Algebra and geometry

# publications[].label
Identifiability of linear compartmental tree models and a general formula for input-output equations

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Analyzing Multistationarity in Chemical Reaction Networks using the Determinant Optimization Method

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A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics

# publications[].publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

# publications[].label
NONDEGENERATE NEURAL CODES AND OBSTRUCTIONS TO CLOSED-CONVEXITY

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Obstructions to convexity in neural codes

# publications[].label
A global convergence result for processive multisite phosphorylation systems.

# publications[].label
Chemical reaction systems with toric steady states

# publications[].label
Analyzing multistationarity in chemical reaction networks using the determinant optimization method

# publications[].label
Non-monotonicity of closed convexity in neural codes

# publications[].label
Revisiting a synthetic intracellular regulatory network that exhibits oscillations.

# publications[].label
An All-Encompassing Global Convergence Result for Processive Multisite Phosphorylation Systems

# publications[].label
Wheels: A new criterion for non-convexity of neural codes

# publications[].label
Nondegenerate Neural Codes and Obstructions to Closed-Convexity

# publications[].label
Algebraic signatures of convex and non-convex codes

# publications[].label
Oscillations and bistability in a model of ERK regulation.

# publications[].label
Absolute concentration robustness and multistationarity in reaction networks: Conditions for coexistence

# publications[].label
Emergence of Oscillations in a Mixed-Mechanism Phosphorylation System.

# publications[].label
THE DYNAMICS OF WEAKLY REVERSIBLE POPULATION PROCESSES NEAR FACETS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
A global convergence result for processive multisite phosphorylation systems

# publications[].label
Joining and decomposing reaction networks.

# publications[].label
The cyclohedron test for finding periodic genes in time course expression studies.

# publications[].label
PREVALENCE OF MULTISTATIONARITY AND ABSOLUTE CONCENTRATION ROBUSTNESS IN REACTION NETWORKS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Neural codes, decidability, and a new local obstruction to convexity

# publications[].label
Wheels: A New Criterion for Non-convexity of Neural Codes

# publications[].label
Identifiability of Linear Compartmental Models: The Effect of Moving Inputs, Outputs, and Leaks

# publications[].label
On the connectedness of multistationarity regions of small reaction networks

# publications[].label
Chemical reaction systems with toric steady states.

# publications[].label
Nondegenerate multistationarity in small reaction networks

# publications[].label
Oscillations and bistability in a model of ERK regulation

# publications[].label
NONDEGENERATE MULTISTATIONARITY IN SMALL REACTION NETWORKS

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
The smallest multistationary mass-preserving chemical reaction network

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Non-Monotonicity of Closed Convexity in Neural Codes

# publications[].label
Atoms of multistationarity in chemical reaction networks

# publications[].label
The Cyclohedron Test for Finding Periodic Genes in Time Course Expression Studies

# publications[].label
A Geometric Approach to the Global Attractor Conjecture

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Identifiability of linear compartmental models: the singular locus

# publications[].label
Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry

# publications[].label
Deficiency of chemical reaction networks: the effect of operations that preserve multistationarity and periodic orbits

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
Obstructions to convexity in neural codes

# publications[].label
Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry

# publications[].label
Linear compartmental models: input-output equations and operations that preserve identifiability

# publications[].label
Absolute Concentration Robustness in Networks with Low-Dimensional Stoichiometric Subspace

# publications[].label
Dynamics of post-translational modification systems: recent progress and future directions

# publications[].label
Identifiability of linear compartmental models: The singular locus

# publications[].label
Joining and decomposing reaction networks

# publications[].label
Identifiability of linear compartmental tree models and a general formula for input-output equations

# publications[].label
Structural identifiability of compartmental models: Recent progress and future directions

# publications[].label
Algebraic signatures of convex and non-convex codes.

# publications[].label
Dynamics of ERK regulation in the processive limit.

# publications[].label
Dynamics of ERK regulation in the processive limit

# publications[].label
Comparison of pattern detection methods in microarray time series of the segmentation clock.

# publications[].label
Dynamics of Posttranslational Modification Systems: Recent Progress and Future Directions.

# publications[].label
LINEAR COMPARTMENTAL MODELS: INPUT-OUTPUT EQUATIONS AND OPERATIONS THAT PRESERVE IDENTIFIABILITY

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Absolute concentration robustness: Algebra and geometry

# publications[].label
Absolute concentration robustness in networks with low-dimensional stoichiometric subspace

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Neural codes with three maximal codewords: convexity and minimal embedding dimension

# publications[].label
SIMPLIFYING THE JACOBIAN CRITERION FOR PRECLUDING MULTISTATIONARITY IN CHEMICAL REACTION NETWORKS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Emergence of oscillations in a mixed-mechanism phosphorylation system

# publications[].label
Neural Codes, Decidability, and a New Local Obstruction to Convexity

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
A Survey of Methods for Deciding Whether a Reaction Network is Multistationary

# publications[].label
Which Small Reaction Networks Are Multistationary?

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

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CAREER:  Biochemical Reaction Systems:  From Structure to Dynamics

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

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REU Site: Undergraduate Research in the Mathematical Sciences and their Applications

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
REU Site: Undergraduate Research in the Mathematical Sciences and Their Applications --

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Texas Algebraic Geometry Symposium: TAGS 2015

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# inTheNews[].label
Mathematician’s research propelled forward by NSF CAREER award

# etdChairOf[].label
Barton, Andrea (2023-05). An Extension of Descartes' Rule of Signs to Multiple Variables, with Applications to Models of Biological Systems. Master's Thesis.

# etdChairOf[].label
Obatake, Nida Kazi (2021-08). On the stability and number of steady states of chemical reaction networks. Doctoral Dissertation.

# etdChairOf[].label
Tyler, Jonathan P. (2019-08). Mathematical Modeling of Biological Clocks. Doctoral Dissertation.

# etdChairOf[].label
Ruys De Perez, Alexander Mark (2021-05). New Tools for Classifying Convex Neural Codes: The Factor Complex and the Wheel. Doctoral Dissertation.