Dr. Ursula Trigos-Raczkowski
Profile
Post Doctoral Researcher
University of Louisiana at Lafayette

My research interests lie in the development and application of biomathematical models to explore population dynamics across diverse ecosystems. I employ a range of mathematical techniques, including partial differential equations, dynamical systems theory, stability analyses, and perturbation theory, to examine these complex systems.

Although my work traditionally emphasizes theoretical and analytical approaches, I have recently integrated numerical simulations to enhance the robustness of my models.

These models provide insights into the mechanisms driving competitive coexistence, the impact of competition on community structure and diversity, and the implications of biological trade-offs for understanding species interactions.

While the methodologies I employ are broadly applicable, my current research is specifically directed towards understanding tropical forests, with a focus on the complex dynamics within tropical tree systems which have applications to the climate crisis.

Profile

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Teaching

Teaching and Mentorship Philosophy

With over a decade of teaching experience, I am passionate about breaking down complex mathematical concepts into accessible, engaging lessons. From precalculus to advanced differential equations, I thrive on helping students of all backgrounds overcome challenges and discover excitement in subjects they once found intimidating. My teaching philosophy emphasizes clear explanations, hands-on practice, and creating a supportive environment where students feel confident, empowered, and prepared to apply their knowledge.

As a Latina woman in STEM, I am deeply committed to fostering diversity and inclusion in education. Drawing on my experiences mentoring first-generation and underrepresented students, I strive to create equitable opportunities and inspire the next generation of scholars through outreach, research mentorship, and inclusive pedagogy.

Teaching

Current Position

I am currently a Postdoctoral Researcher under the Dean of Ray P. Authement College of Sciences at the University of Louisiana at Lafayette. In this role, I focus on advancing my research while actively mentoring graduate students. I oversee the progress of five PhD students who are at various stages of their academic journeys. This includes working closely with one student at the conceptional stage of their research, providing foundational guidance, and helping shape the direction of their project. For my other students, with more developed or nearly completed dissertations, I offer critical feedback and support to ensure the successful culmination of their work. My mentorship aims to foster intellectual growth, encourage academic independence, and equip students with the tools necessary to excel in their respective fields as they go on to academic positions of their own.

About Me

About Me

Hi, I'm Ursula—a mathematician, educator, and lifelong learner passionate about unraveling the complexities of the natural world. My work focuses on biomathematical modeling, where I explore population dynamics in diverse ecosystems. Beyond my academic pursuits, I'm an avid traveler and outdoors enthusiast who finds inspiration on hiking trails and in the tranquility of nature.

When I'm not immersed in equations or mentoring students, I indulge in creative hobbies like sewing, crocheting, and drawing. One of my favorite pastimes is crafting and wearing historically accurate clothing, blending my love for history and artistry. I also enjoy writing and have a penchant for fantasy and historical fiction, with book series like Sword of Truth, A Song of Ice and Fire, and The Saxon Stories being longtime favorites.

about

Recently, I've discovered a passion for fitness and strength training at the gym, adding balance to my daily life. I'm also an avid gamer and enjoy immersing myself in worlds like World of Warcraft and Hogwarts Legacy.

Whether it's exploring the outdoors, creating something with my hands, or solving a complex mathematical problem, I am driven by curiosity and a love for learning. Feel free to connect—I'm always excited to share ideas, discuss new projects, or swap book recommendations!

Education

  • Ph.D. in Applied and Interdisciplinary Mathematics, University of Michigan, Ann Arbor, 2023
  • M.S. in Mathematics, University of Michigan, Ann Arbor, 2018
  • B.S. in Mathematics, California State University Bakersfield, 2016