Marco Aldi

About Me

Welcome to my academic webpage. I am an associate professor in the Department of Mathematics and Statistics at Virginia Commonwealth University. My academic work focuses on algebraic and geometric techniques to solve mathematical problems inspired by physics. I have also worked on asymptotic combinatorics, the foundations of real analysis, and mathematical education.

I am a member of the VCU Geometry Group, of the Mid-Atlantic Regional Math Alliance, and of the Virginia Academy of Science.

Research Interests

• Mathematical Physics
• Geometry
• Algebra
• Number Theory
• Computational Complexity
• Discrete Mathematics
• Real Analysis
• Mathematical Education

Selected Publications

• Independence Polynomials of 2-step Nilpotent Lie Algebras
  M. Aldi, T. Gabrielsen, D. Grandini, J. Harris, and K. Kelley
  Journal of Pure and Applied Algebra, Vol. 230 (2026)
• An unholy trinity: TFNP, polynomial systems, and the quantum satisfiability problem
  M. Aldi, S. Gharibian, and D. Rudolph
  Leibniz International Proceedings in Informatics (ITCS 2026), Vol. 362
• Sparse systems of functions and quasi-analytic classes
  M. Aldi, J. Buffkin II, C. Cline, and S. Cox
  Fundamenta Mathematicae, Vol. 270, n. 2 (2025)
• On the Cohomology of Lie Algebras associated with Graphs
  M. Aldi, A. Butler, J. Gardiner, D. Grandini, M. Lichtenwalner, and K. Pan
  Journal of Pure and Applied Algebra, Vol. 229, n. 1 (2025)
• A Note on the Shifted Courant-Nijenhuis Torsion
  M. Aldi, S. Da Silva, and D. Grandini
  Differential Geometry and its Applications, Vol. 94, 102120 (2024)
• 2-step Nilpotent L_∞-algebras and Hypergraphs
  M. Aldi and S. Bevins
  Journal of Pure and Applied Algebra, Vol. 228, n. 6 (2024)
• Polynomial Structures in Generalized Geometry
  M. Aldi and D. Grandini
  Differential Geometry and its Applications, Vol. 84, (2022)
• On Efficiently Solvable Cases of Quantum k-QSAT
  M. Aldi, N. de Beaudrap, S. Gharibian, and S. Saeedi
  Communications in Mathematical Physics, Vol. 381, n. 1, (2021)
• Asymptotic Expansion of Warlimont Functions on Wright Semigroups
  M. Aldi and H. Tan
  Involve, Vol. 12, n. 7 (2019)
• Arithmetical Semirings
  M. Aldi
  Discrete Mathematics, Vol. 342, (2019)
• Darboux Calculus
  M. Aldi and A. McCleary
  Involve, Vol. 12, n. 3 (2019)
• On a Complex-Symplectic Mirror Pair
  M. Aldi and R. Heluani
  International Mathematics Research Notices, n. 22 (2018)/div>
• Generalized Almost Product Structures and Generalized CRF-structures
  M. Aldi and D. Grandini
  Journal of Geometry and Physics, Vol. 121 (2017)
• An Abstract Morimoto Theorem for Generalized F-structures
  M. Aldi and D. Grandini
  Quarterly Journal of Mathematics, Vol. 67, n.2 (2016)
• p-adic Berglund-Hübsch Duality
  M. Aldi and A. Peruničić
  Advances in Theoretical and Mathematical Physics, Vol. 19, n. 5 (2015)
• Generalized Contact Geometry and T-duality
  M. Aldi and D. Grandini
  Journal of Geometry and Physics, Vol. 92 (2015)
• Dilogarithms, OPE, and twisted T-duality
  M. Aldi and R. Heluani
  International Mathematics Research Notices, n.6 (2014)
• Twisted Homogeneous Coordinate Rings of Abelian Surfaces via Mirror Symmetry
  M. Aldi
  Proceedings of the American Mathematical Society, Vol. 137, n. 8 (2009)
• Seidel's Mirror Map for Abelian Varieties
  M. Aldi and E. Zaslow
  Advances in Theoretical and Mathematical Physics, Vol. 10, n. 4 (2006)
• Coisotropic Branes, Noncommutativity and the Mirror Correspondence
  M. Aldi and E. Zaslow
  Journal of High Energy Physics, Vol. 19. n. 6 (2005)

Contact Information

Email: maldi@vcu.edu

Office: Grace E Harris Hall, 4150

Mailing Address:
Department of Mathematics and Statistics
Virginia Commonwealth University
1015 Floyd Ave
Richmond, VA 23284