Ingmar Akira Saberi

Publications

• I. Saberi and B. R. Williams, "Twisted characters and holomorphic symmetries."
  Preprint available at arxiv:math-ph/1906.04221 (2019).
• M. Heydeman, M. Marcolli, S. Parikh, and I. Saberi, "Nonarchimedean holographic entropy from networks of perfect tensors."
  Preprint available at arxiv:hep-th/1812.04057 (2018).
• R. Eager, I. Saberi, and J. Walcher, "Nilpotence varieties."
  Submitted.
  Preprint available at arXiv:hep-th/1807.03766 (2018).
• R. Eager and I. Saberi, "Holomorphic field theories and Calabi–Yau algebras."
  Preprint available at arXiv:hep-th/1805.02084 (2018).
• I. Saberi, "An introduction to spin systems for mathematicians."
  In Topology and quantum theory in interaction (D. Ayala, D. S. Freed, and R. E. Grady, eds.), AMS Contemporary Mathematics 718 (2018).
  Preprint available at arXiv:math-ph/1801.07270 (2018).
• I. Saberi, "Holography and local fields."
  Contribution to the proceedings of the sixth international conference on p-adic mathematical physics and its applications, Mexico City, October 2017.
  p-adic numbers, ultrametric analysis, and applications 10, no. 3, pp. 151–165 (2018).
  Preprint available at arXiv:hep-th/1801.04942 (2018).
• S. S. Gubser, M. Heydeman, C. Jepsen, S. Parikh, I. Saberi, B. Stoica, and B. Trundy, "Signs of the time: melonic theories over diverse number systems."
  Physical Review D 98, 126007 (2018).
  Preprint available at arXiv:hep-th/1707.01087 (2017).
• S. S. Gubser, M. Heydeman, C. Jepsen, M. Marcolli, S. Parikh, I. Saberi, B. Stoica, and B. Trundy, "Edge length dynamics on graphs with applications to p-adic AdS/CFT."
  J. of High Energy Phys. 06 (2017) 157.
  Preprint available at arXiv:hep-th/1612.09580 (2016).
• M. Heydeman, M. Marcolli, I. Saberi, and B. Stoica, "Tensor networks, algebraic curves, and p-adic local fields: arithmetic generalizations of the AdS₃/CFT₂ correspondence."
  Adv. Theor. Math. Phys. 22, no. 1 (2018).
  Preprint available at arXiv:hep-th/1605.07639 (2016).
• S. Gukov, S. Nawata, I. Saberi, M. Stošić, and P. Sułkowski, "Sequencing BPS Spectra."
  J. of High Energy Phys. 1603 (2016) 004.
  Preprint available at arXiv:hep-th/1512.07883 (2015).
• H. Kim and I. Saberi, "Real homotopy theory and supersymmetric quantum mechanics."
  Journal of Mathematical Physics 59, no. 7 (2018), 072102.
  Preprint available at arXiv:hep-th/1511.00978 (2015).
• S. Gukov and I. Saberi, "Lectures on knot homology and quantum curves."
  In Topology and Field Theories (S. Stolz, ed.), AMS Contemporary Mathematics 613 (2014).
  Preprint available at arXiv:hep-th/1211.6075 (2012).
• I. Saberi and F. Gittes, "Nonconservative forcing and diffusion in refractive optical traps."
  J. Opt. Soc. Am. B 28, 2369–2373 (2011).
  Preprint available at arXiv:cond-mat.stat-mech/1102.3343 (2011).
• X. Wang, H. F. Grip, A. Saberi, A. A. Stoorvogel, and I. Saberi, "Remarks on the relationship between L_p stability and internal stability of nonlinear systems."
  Int. J. of Robust and Nonlinear Control 23 (16), 1822–1827 (2013). Also in Proc. Amer. Control Conf., San Francisco (2011).

In preparation

Here's a list of projects at various stages of development, ranging from the first to the third trimester. The list may not be complete, and of course the gestation period is also subject to enormous uncertainty. If you have questions about any of these projects—or would like to suggest something that should be added to the list—don't hesitate to get in touch!

• "Brane quantization and the double affine Hecke algebra," with S. Gukov, P. Koroteev, and S. Nawata
• "Modules over nilpotence varieties," with R. Eager and J. Walcher
• "Tangency in conically smooth differential topology," with B. Knudsen
• "On the constructible Grassmannian," with B. Knudsen
• "Spectral sequences in four-dimensional superconformal theories," with S. Gukov, S. Nawata, and D. Pei
• "Motivic quantum field theory and the number theory of A-polynomial curves," with S. Gukov
• "Algebraic Chern–Simons theory," a recurrent dream/topic of conversation with some loose collective of people. Deserves a better name, but why spoil the surprise?