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

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

# keywords[]
1.1 Normal Biological Development And Functioning

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

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

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Faculty Early Career Development (CAREER) Program

# publications[].label
A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics

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

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NONDEGENERATE NEURAL CODES AND OBSTRUCTIONS TO CLOSED-CONVEXITY

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Society for Industrial & Applied Mathematics (SIAM)

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SIMPLIFYING THE JACOBIAN CRITERION FOR PRECLUDING MULTISTATIONARITY IN CHEMICAL REACTION NETWORKS

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

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Simplifying the Jacobian Criterion for Precluding Multistationarity in Chemical Reaction Networks

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

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Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks

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

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A global convergence result for processive multisite phosphorylation systems.

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Which Small Reaction Networks Are Multistationary?

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

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A Survey of Methods for Deciding Whether a Reaction Network is Multistationary

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Joining and decomposing reaction networks.

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Analyzing multistationarity in chemical reaction networks using the determinant optimization method

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NONDEGENERATE MULTISTATIONARITY IN SMALL REACTION NETWORKS

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American Institute of Mathematical Sciences (AIMS)

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Emergence of Oscillations in a Mixed-Mechanism Phosphorylation System.

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Identifiability of linear compartmental tree models and a general formula for input-output equations

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Non-Monotonicity of Closed Convexity in Neural Codes

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Oscillations and bistability in a model of ERK regulation.

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Absolute concentration robustness: Algebra and geometry

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Comparison of pattern detection methods in microarray time series of the segmentation clock.

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Identifiability of linear compartmental models: The singular locus

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

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

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

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Absolute concentration robustness and multistationarity in reaction networks: Conditions for coexistence

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Chemical reaction systems with toric steady states.

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

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

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A Geometric Approach to the Global Attractor Conjecture

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

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The smallest multistationary mass-preserving chemical reaction network

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Atoms of multistationarity in chemical reaction networks

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Obstructions to convexity in neural codes

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Algebraic signatures of convex and non-convex codes.

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LINEAR COMPARTMENTAL MODELS: INPUT-OUTPUT EQUATIONS AND OPERATIONS THAT PRESERVE IDENTIFIABILITY

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

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

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Neural Codes, Decidability, and a New Local Obstruction to Convexity

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

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

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Wheels: A new criterion for non-convexity of neural codes

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Identifiability of linear compartmental models: the effect of moving inputs, outputs, and leaks

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THE DYNAMICS OF WEAKLY REVERSIBLE POPULATION PROCESSES NEAR FACETS

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

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The Dynamics of Weakly Reversible Population Processes near Facets

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

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

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

# researcherOn[].label
CAREER:  Biochemical Reaction Systems:  From Structure to Dynamics

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

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Texas Algebraic Geometry Symposium: TAGS 2015

# 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[].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)

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

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