Aleksandra (Ola) Sobieska - Math

Research

Teaching

My name is Aleksandra (Ola) Sobieska. As of August 2024, I am an Assistant Professor of Mathematics at Marshall University. My research resides at the intersection of commutative algebra and combinatorics.Before coming to Marshall, I was a postdoc at the University of Wisconsin-Madison working with <a target="_blank" rel="noopener noreferrer nofollow" href="https://math.hawaii.edu/~erman/">Daniel Erman</a>. I earned my Ph.D. at Texas A&amp;M University in 2020 under the guidance of Laura Matusevich.Though Aleksandra is my legal name and the name I use on printed record, I more often go by <a target="_blank" rel="noopener noreferrer nofollow" href="https://culture.pl/en/article/a-foreigners-guide-to-polish-names">Ola</a>.My work is supported by the National Science Foundation under Grant No. 2532902.

Welcome!

Interactive workshops and seminars on various mathematical topics aimed at students, educators, and professionals. These sessions are designed to foster deeper understanding and practical applications of mathematics.

Workshops and Seminars

Guidance and support for students and faculty in conducting mathematical research, including methodology, data analysis, and publishing. I help navigate the complexities of mathematical inquiries and projects.

Research Consultation

Self-paced online courses covering a range of mathematical subjects, designed for learners at all levels. These courses offer flexible learning options with engaging content and assessments.

Online Courses

Personalized one-on-one tutoring sessions tailored to meet the individual needs of students, enhancing their understanding of mathematical concepts. I focus on building confidence and problem-solving skills through engaging and interactive lessons.

Mathematics Tutoring

Recurring themes of my research include: free resolutions and syzygies, toric ideals, numerical and affine semigroups, polyhedral geometry, nonstandard and multi-gradings of the polynomial ring, Hilbert functions and Hilbert series, Poincaré series, initial ideals and Gröbner bases, and cellular resolutions.Most, if not all, of my research uses the computer algebra software <a target="_blank" rel="noopener noreferrer nofollow" href="https://macaulay2.com/">Macaulay2</a>.

Interests

Taked With Sony Alpha 7r II

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85MM F1.4 Sigma Dg Dn

Photo & Edit : Kian Mousazadeh

Information

<h3>Publications</h3><ul><li>Rational Normal Curves in Weighted Projective Space. To appear in: Bulletin of the London Mathematical Society. Joint with: Caitlin Davis. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/pdf/2410.04586">arXiV</a>.</li><li>Infinite free resolutions over numerical semigroup algebras via specialization.To appear in: Arkiv för Matematik. Joint with: Tara Gomes, Christopher O'Neill, and Eduardo Torres Dávila. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/2405.01700">arXiV</a>.</li><li>Minimal free resolutions of numerical semigroup algebras via Apéry specialization. Pacific Journal of Mathematics, Vol. 334 (2025), No. 2, 211–231. Joint with: Benjamin Braun, Tara Gomes, Ezra Miller, and Christopher O'Neill. <a target="_blank" rel="noopener noreferrer nofollow" href="https://doi.org/10.2140/pjm.2025.334.211">DOI</a>. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/2310.03612">arXiV</a>.</li><li>A Taylor Resolution Over Complete Intersections. Journal of Algebra, Vol. 636 (2023), pp. 716-731. <a target="_blank" rel="noopener noreferrer nofollow" href="https://doi.org/10.1016/j.jalgebra.2023.09.002">DOI</a>. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/2212.06999">arXiV</a>. </li><li>Subcomplexes of Certain Free Resolutions. Nagoya Mathematical Journal, Volume 256, December 2024, pp. 886-904. Joint with: Maya Banks. <a target="_blank" rel="noopener noreferrer nofollow" href="https://doi.org/10.1017/nmj.2024.7">DOI</a>. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/2112.15137">arXiV</a>.</li><li>Toward Free Resolutions Over Scrolls.Proceedings of the American Mathematical Society 148 (2020), pp. 5071-5086. Joint with: Laura Felicia Matusevich. <a target="_blank" rel="noopener noreferrer nofollow" href="https://doi.org/10.1090/proc/15150">DOI</a>. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/1903.03687">arXiV</a>.</li><li>Counterexamples for Cohen--Macaulayness of Lattice Ideals. Communications in Algebra, Vol. 47: Issue 6 (2019), pp. 2494 - 2502. Joint with: Laura Felicia Matusevich. <a target="_blank" rel="noopener noreferrer nofollow" href="https://doi.org/10.1080/00927872.2018.1521420">DOI</a>. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/1804.03647">arXiV</a>.</li><li>On transformations of A-hypergeometric functions. Funkcialaj Ekvacioj, Vol. 62: Issue 3 (2019), pp. 319-336. Joint with: Jens Forsgård and Laura Felicia Matusevich. <a target="_blank" rel="noopener noreferrer nofollow" href="https://doi.org/10.1619/fesi.62.319">DOI</a>. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/1703.03036">arXiV</a>.</li><li>Splitting techniques and Betti numbers of secant powers. Involve, Vol. 9 (2016), pp. 737 - 750. Joint with: Reza Akhtar, Brittany Burns, Haley Dohrmann, Hannah Hoganson, and Zerotti Woods. <a target="_blank" rel="noopener noreferrer nofollow" href="https://doi.org/10.2140/involve.2016.9.737">DOI</a>.</li></ul><h3>Pre-prints</h3><ul><li>A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal. Joint with: Rachel Diethorn, Sema Güntürkün, Alexis Hardesty, Pinar Mete, Liana Şega, Oana Veliche. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/2504.03977">arXiV</a>.</li><li>CellularResolutions M2 Package. Joint with: Jay Yang. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/2307.08224">arXiV</a>.</li><li>Identifiability of Linear Compartmental Models: The Impact of Removing Leaks and Edges. Joint with: Patrick Chan, Katherine Johnston, Anne Shiu, and Clare Spinner. <a target="_blank" rel="noopener noreferrer nofollow" href="https://arxiv.org/abs/2102.04417">arXiV</a>.</li></ul>

<h3>Coming soon!</h3>This page is in the process of making its migration.

In a country school in China, the biology class has been class, and a high school student stands in front of the blackboard.

I have taught courses in calculus, quantitative reasoning, linear algebra, differential equations, discrete math, combinatorics, and commutative algebra. I have also worked as a project leader or TA at various summer schools and REUs. It is important to me that my classes are a positive, effective learning experience for my students.If you are my current student, our course is likely being managed in Blackboard. If you have any questions, feel free to reach out via email.