Advisor: Dr. M. Peszynska

Anticipated graduation Spring 2026.

GPA: 4.0

Advisor: Dr. M. Peszynska

Capstone Project, “Investigating the Bioheat Transfer (Pennes) Equation.”

GPA: 4.0

GPA: 4.0

Minor: Mathematics

PI: Dr. Michael Martin

Goal: Continuation of Summer 2023 MSGI project with the goal of extending results to thermal conductivity and additional chemical species, and preparing results for publication.

Funding: Supported through NREL's Computational Science Center.

PI: Dr. M. Peszynska

Goal: Research on coupled nonlinear PDE/ODE systems with nonlinear boundary conditions, with the goal of preparing results for publication.

Funding: Supported by the Joel Davis Faculty Scholar Award, awarded to Prof. Malgorzata Peszynska, Dept. of Mathematics, Oregon State University.

PI: Dr. M. Peszynska

Goal: GOAL HERE.

Funding: Supported by NSF DMS-1912938, awarded to Prof. M. Peszynska, Dept. of Mathematics, Oregon State University.

PI: Dr. Michael Martin

Goal: Research on propagation of error in viscosity and thermal conductivity calculations due to equation of state (EoS) choice in exascale-level supercomputer combustion simulation.

Funding: Supported through NSF's Mathematical Sciences Graduate Internship (MSGI) program.

PI: Dr. M. Peszynska

Goal: GOAL HERE.

Funding: Supported by NSF DMS-1912938, awarded to Prof. M. Peszynska, Dept. of Mathematics, Oregon State University.

PI: Dr. Markus Pflaum

Project: Topological Data Analysis in Cosmology.

Instructor of record for math department's Ph.D. qualifying exam preparation course.

TA for differential equations, differential and integral calculus, vector calculus, analysis, linear algebra, numerical PDEs, trigonometry.

Participated in search committee for joint differential geometry and robotics faculty position.

Wrote lesson plans and in-class content for Oregon State's project to standardize the calculus sequence.

Led award-winning projects and teams of up to 50 collaborators creating content in undergraduate physics, chemistry, biology, psychology, and mathematics. Designed, wrote, and edited lessons, books, videos, marketing material, and practice resources. See book editor/authorship and video production credits below.

Taught undergraduate science and test preparation strategies online and in person to premed students. Twice awarded Kaplan's ``Teacher of the Year''.

PI: Dr. Paul Megee. Researched and implemented molecular genetics techniques to create antibody tags to proteins of interest.

T. Fara and M. Peszynska: "Nonlinear bioheat model for dynamics of hypothermia and frostbite. I. Modeling aspects." Mathematical Biosciences and Engineering

This paper describes a coupled PDE/ODE system modeling, respectively, temperature in the hands/feet and the body core during exposure to extreme cold. Coupling through nonlinear energy exchange terms is used to model the body's protective mechanisms against hypothermia. The energy exchange term in the bioheat PDE is illustrated through numerical simulations on both the macro- and microscale. This paper describes the model and presents simulation results.

T. Fara and M. Peszynska: "Nonlinear bioheat model for dynamics of hypothermia and frostbite. II. Stability analysis and finite element discretization." Math Dept., Oregon State University

This paper presents stability analysis and a priori estimates for a generalization of the model presented in our prior paper, "Nonlinear bioheat model for dynamics of hypothermia and frostbite. I. Modeling aspects."

T. Fara, S. Yellapantula, B. Perry, H. Sitaraman, M. Day, and M. Martin: "Quantifying the importance of equation of state and transport property compatibility in supercritical fluids." Intended for publication in AIAA Journal

This paper describes the effect of equation of state choice and transport property (viscosity or thermal conductivity) correlation on the accuracy and stability of numerical simulations of supercritical CO2 and other chemical species.

T. Fara and M. Peszynska: "Frozen fingers, warm heart: a predictive model for survival heat management." SIAM News Blog

Link: Frozen fingers, warm heart: a predictive model for survival heat management.

M. Peszynska, T. Fara, M. Phelps, N. Zhang: "Mixed dimensional modeling with overlapping continua on Cartesian grids for complex applications." Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems , Springer, 2023, p129–145.

J. Woodman, T. Fara, M. Dzieciatkowska, M. Trejo, N. Luong, K. C. Hansen, P. C. Megee: "Cell cycle-specific cleavage of Scc2 regulates its cohesin deposition activity." Proceedings of the National Academy of Sciences , 111(19), 7060–7065, 2014.

Analysis and Simulation of a Nonlinear Bioheat Model for Hypothermia and Frostbite.

A Stable FEM Framework for Coupled PDE–ODE Bioheat Models with Nonlinear Boundary Conditions.

Product‐space a priori error analysis and numerical simulation of a coupled nonlinear bioheat PDE–ODE model.

Hypothermia and frostbite: a model for energy exchange between the body core and extremities during cold exposure.

Modeling Hypothermia and Frostbite with Coupled Hydrological and Thermal Models.

Modeling Hypothermia with a Multiscale Model Coupling Partial Differential Equations for Blood Flow and Temperature with Ordinary Differential Equations.

Modeling hypothermia, frostbite, and blood flow regulation with a coupled PDE and ODE system.

Modeling hypothermia with a multiscale model coupling partial differential equations for temperature with ordinary differential equations.

Modeling hypothermia with a multiscale model coupling partial differential equations for temperature with ordinary differential equations.

Comparing the Effect of Equation of State Choice on Supercritical CO₂ Simulation.

Modeling hypothermia with mixed dimensional approach coupled with an ordinary differential equation.

Examining the Cause of μ < 0.

Comparing the Effect of Equation of State Choice on Supercritical CO₂ Simulation.

Investigating the Bioheat Transfer (Pennes) Equation.

Lightning talk about Modeling Hypothermia and Hyperthermia.

Modeling Hypothermia and Hyperthermia.

Topological Data Analysis in Cosmology, with M. Pflaum and others in REU group.

Finite Element Methods, Finite Difference Methods, Discontinuous Galerkin Methods, Computational Multiphysics, Computational Fluid Dynamics, Approximation of Flow PDEs, Computational Harmonic Analysis, Numerical Linear Algebra, Numerical ODEs, Partial Differential Equations, Advanced PDEs, Real Analysis, Complex Analysis, Linear Algebra, Abstract Algebra, Topology, Differential Geometry, General Relativity.

Physiology, Histology, Anatomy, Applied Anatomy, Cadaver Dissection, Neuroanatomy.

Physics, Biology, Molecular Biology, Chemistry, Organic Chemistry, Physical Chemistry, Analytical Chemistry, Spectroscopy and Separations, Biochemistry, Physiology, Algorithms, Data Structures.

Qualifying Exam Prep Seminar

Trigonometry (Fall 2020), Differential Calculus (Winter 2021), Vector Calculus 1 (Spring 2021), Vector Calculus 2 (Fall 2021), Vector Calculus 1 (Winter 2022), Ordinary Differential Equations (Spring 2022 & Spring 2023), Integral Calculus (Fall 2022), Analysis 2 (Fall 2023), Linear Algebra 1 (Fall 2025)

Other tests taught: DAT, OAT, PCAT, GMAT, GRE

Organized and led summer camp for 65 MCAT students and 10 teachers. Primary instructor, teaching in person daily to all 65 students. Mentored, coached, and managed the 11 person teachering team.

Role: Designer and consultant for Kaplan's Next Gen video series.

Impact: These videos replaced the High Yield Science series as Kaplan's flagship MCAT video product.

Role: Project manager for 50 content creators and a video production crew. Lead designer. Lead video director.

Impact: Product sold for $1 million against a $300,000 budget.

Role: Project manager for 20 content creators. Lead designer. Lead writer. Lead video director.

Impact: Video series has amassed over 500k views on YouTube.

Role: Project manager for 5 content creators. Lead designer. Lead writer. Lead video director.

Impact: These videos are the centerpiece of Kaplan's MCAT course, a $30 million per year product. The accompanying lessons have been taught by thousands of teachers to over half a million MCAT students.