Sofia R. Martinez Alberga

Sofia R. Martinez Alberga serves as a Visiting Professor in the Department of Mathematics at Stonehill College, a position she assumed in 2025. Her research centers on algebraic topology and homotopical combinatorics, with her doctoral dissertation titled "Coalgebraic Models for Equivariant Homotopy Types." Prior to Stonehill, she was a National Science Foundation Graduate Research Fellow and teaching assistant at Purdue University.

Education:

• Ph.D. in Mathematics, Purdue University
• M.S. in Mathematics, Purdue University
• B.S. in Mathematics, University of California, Riverside

Dr. Martinez Alberga's work bridges abstract algebraic structures with combinatorial topology, focusing on coalgebraic frameworks for modeling equivariant homotopy types. Her research has implications for computational topology and theoretical mathematics, emphasizing rigorous structural analysis. She actively promotes diversity in STEM through mentorship initiatives, reflecting her commitment to inclusive academic excellence.

Scientific Awards:

• 2024 Outstanding Mentoring Award from Purdue University

Her mentorship contributions include serving as a graduate mentor for the Enhancing Diversity in Graduate Education (EDGE) summer bridge program and as a research assistant for the Simons Laufer Mathematical Sciences Institute's MSRI-UP program in 2020 and 2023. These roles highlight her dedication to supporting underrepresented students in mathematical sciences through the NSF Graduate Research Fellowship.

She maintains active collaborations with the MSRI-UP research program and EDGE initiative, focusing on creating accessible pathways for diverse talent in advanced mathematical research and education.