- M.Mezard, A.Montanari, "Information, physics and computation", Oxford University Press, 2009.
- I.Bengtsson, K.Zyczkowski, "Geometry of quantum states", Cambridge University Press, 2006.
- K.R. Parthasarathy, "Quantum Computation, quantum error correcting codes and information theory", Narosa, 2006.
- S.Amari, H.Nagaoka, "Methods of Information Geometry" AMS and Oxford, 2000.

- Matilde Marcolli, Ryan Thorngren, "Thermodynamic semirings", arXiv:1108.2874
- Yuri Manin, Matilde Marcolli, "Error-correcting codes and phase transitions", arXiv:0910.5135
- Yuri Manin, Matilde Marcolli, "Kolmogorov complexity and the asymptotic bound for error-correcting codes", arXiv:1203.0653
- Matilde Marcolli, Christopher Perez, "Codes as fractals and noncommutative spaces", arXiv:1107.5782
- Yuri Manin, "Renormalization and computation I: motivation and background", arXiv:0904.4921,
- Yuri Manin, "Renormalization and Computation II: Time Cut-off and the Halting Problem", arXiv:0908.3430.
- Colleen Delaney, Matilde Marcolli, "Dyson-Schwinger equations in the theory of computation", arXiv:1302.5040

- John C. Baez, Mike Stay, "Physics, Topology, Logic and Computation: A Rosetta Stone", arXiv:0903.0340
- John C. Baez, Tobias Fritz, Tom Leinster, "A characterization of entropy in terms of information loss", arXiv:1106.1791.
- Mikhail Kapranov, "Thermodynamics and the moment map", arXiv:1108.3472.
- O.Viro, "Dequantization of real algebraic geometry on logarithmic paper", arXiv:math/0005163
- I. Itenberg and G. Mikhalkin, "Geometry in tropical limit", ArXiv: 1108.3111v2
- R. Frank and E.H. Lieb, "Monotonicity of a relative Renyi entropy", arXiv:1306.5358
- Yuri Manin, "A computability challenge: asymptotic bounds and isolated error-correcting codes", arXiv:1107.4246
- Yuri Manin, "Complexity vs Energy: Theory of Computation and Theoretical Physics", arXiv:1302.6695
- Yuri Manin, "Zipf's law and L. Levin's probability distributions", arXiv:1301.0427
- Yuri Manin, "Classical computing, quantum computing, and Shor's factoring algorithm", arXiv:quant-ph/9903008
- A. R. Calderbank, E.M.Rains, P.W.Shor, N.J.A.Sloane, "Quantum Error Correction via Codes over GF(4)", arXiv:quant-ph/9608006
- S.Trebst, M.Troyer, Z.Wang, A.Ludwig, "A short introduction to Fibonacci anyon models, arXiv:0902.3275
- Matilde Marcolli, John Napp, "Quantum computation and real multiplication", arXiv:1312.3590
- Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang, "Topological quantum computation", arXiv:quant-ph/0101025
- C.Nayak, S.Simon, A.Stern, M.Freedman, S.Sarma, "Non-Abelian Anyons and Topological Quantum Computation", arXiv:0707.1889

- Juan Adame: Geometry in tropical limit
- Sadaf Amouzegar: A characterization of entropy in terms of information loss
- Gabriel Foster: Quantum computation and real multiplication
- Dmitri Gekhtman: Physics, Topology, Logic and Computation
- Jim Tao: Zipf's law and L. Levin's probability distributions
- Alex Vaschillo: Topological quantum computation
- Alex Port: Monotonicity of a relative Renyi entropy
- Nick Zolman: Fibonacci Anyon Models
- Marcus Bintz: Non-Abelian Anyons and Topological Quantum Computation
- Madeleine Youngs: A computability challenge, asymptotic bound and isolated error-correcting codes

- Friday Dec 5: Marcus Bintz, Gabriel Foster
- Monday Dec 8: Alex Port, Jim Tao, Madeleine Youngs
- Wednesday Dec 10: Alex Vaschillo, Juan Adame, Dmitri Gekhtman
- Friday Dec 12: Sadaf Amouzegar, Nick Zolman

- Monday September 29: convex spaces and probability measures
- Wednesday October 1: Perron-Frobenius theory, stochastic matrices
- Friday October 3: Shannon entropy, Kullback-Leibler relative entropy, Fisher-Rao metric, Renyi and Tsallis entropies
- Monday October 6: Khinchin axioms and Shannon entropy
- Wednesday October 8: thermodynamic semirings and algebraic characterization of Shannon entropy
- Friday October 10: thermodynamic semirings for other entropy functionals (Renyi, Tsallis)
- Monday October 13: thermodynamic semirings with relative entropy; successor function; entropy operads
- Wednesday October 15: Quantum versus classical probability; a dictionary of terms: state space, events, observables, probability distributions, expectation values, variance, extreme points, independent systems, dynamics (Heisenberg and Schroedinger versions)
- Friday October 17: Pure states and complex projective geometry, Fubini-Study metric and information geometry
- Monday October 20: Geometry of the convex set of density matrices, U(N)-orbits, flag manifolds
- Wednesday October 22: entropy in quantum information, convexity, von Neumann entropy and generalizations
- Friday October 24: quantum relative entropy; measurement postulate
- Monday October 27: logical gates: CNOT, swap, phase; EPR quantum teleportation, Weyl operators, quantum Fourier transform
- Wednesday October 29: universal quantum gates: density result
- Friday October 31: quantum error-correcting codes and Weyl operators
- Monday November 3: t-error correcting quantum codes and their code parameters
- Wednesday November 5: Classical codes and code parameters: transmission rate and relative minimum distance
- Friday November 7: Existence of the asymptotic bound for error correcting codes; code points with finite and with infinite multiplicity
- Monday November 10: Singleton bound, Hamming bound, Gilbert-Varshamov bound
- Wednesday November 12: The Shannon Random Code Ensemble and quantum statistical mechanics of decoding: the Gilbert-Varshamov curve as phase transition
- Friday November 14: Kolomogorov complexity and the asymptotic bound for error correcting codes
- Monday November 17: Quantum statistical mechanical systems associated to codes and code points
- Wednesday November 19: classical codes and quantum error correcting codes
- Friday November 21: CSS algorithm relating self-orthogonal classical linear codes and q-ary quantum stabilizer codes
- Monday November 24: group rings, group algebras, twist by multipliers, noncommutative tori, rational noncommutative tori and matrix algebras, almost commutative geometries
- Wednesday November 26: CSS algorithm relating classical and quantum codes reinterpreted in terms of the geometry of rational noncommutative tori
- Monday December 1: Renormalization in perturbative quantum field theory and in the theory of computation, Manin's renormalization and computation program
- Wednesday December 3: Algebraic renormalization via Hopf algebras and Rota-Baxter algebras
- Friday December 5: Manin's Hopf algebra of flow charts and an approach to renormalization of the halting problem