Publications

Peer-reviewed journal and conference papers in order of appearance, each with its published version and an open PDF where one exists. Company research reports are listed on Standard Labs.

• E. Sokolova, A. Skorinkin, I. Moiseev, A. Agrachev, A. Nistri, R. Giniatullin, “Experimental and Modeling Studies of Desensitization of P2X3 Receptors,” Molecular Pharmacology 70(1), 373–382 (2006). doi:10.1124/mol.106.023564. Journal
• I. Moiseev, Yu. L. Sachkov, “Maxwell strata in sub-Riemannian problem on the group of motions of a plane,” ESAIM: Control, Optimisation and Calculus of Variations 16(2), 380–399 (2010). doi:10.1051/cocv/2009004. arXiv:0807.4731 · Journal
• C. Breseman, I. Moiseev, B. Abbate, D. M. Woollard, “BETWEEN: Boundary Estimation through Time Warping, Energy, & Entropy Neutralization,” 2025 IEEE International Conference on Knowledge Graph (ICKG), Limassol, Cyprus, 13–14 November 2025, pp. 17–26. IEEE (2025). doi:10.1109/ICKG66886.2025.00010. IEEE Xplore · IEEE CSDL · PDF · Standard Labs
• C. Breseman, I. Moiseev, D. M. Woollard, “Temporal Specification Construct Undercoverage in Pedestrian Behavioral Modeling,” Short paper, Workshop on Pedestrian Behaviour Prediction at the IEEE International Conference on Robotics and Automation (ICRA 2026), Vienna, 1 June 2026 (2026). PDF · Workshop · Standard Labs
• C. Breseman, F. Zanlungo, I. Moiseev, D. M. Woollard, “Micro-scale spatial modification and pedestrian behavior,” Acta Polytechnica CTU Proceedings 57, 42–51 (Proceedings of the 12th International Conference on Pedestrian and Evacuation Dynamics, PED 2025, Prague, 9–12 September 2025) (2026). doi:10.14311/app.2026.57.0042. PDF · Standard Labs Open access, CC BY 4.0.

Manuscript companions

Mathematical articles and manuscript companions behind the blog programs. Companion pages explain selected results and their hypotheses; their linked manuscripts contain the complete statements and proofs. Each page distinguishes proved results, numerical evidence, and open questions.

• 5 Sep 2026 Growth Vectors and Caustics of Magnetic Flux Lifts

  The mathematical companion to "The Geometry of Forbidden Directions": complete statements and hypotheses, proofs where they exist, and the caustic identification stated as the open conjecture it is. The flag computation behind Q = d + k + 2, the proven elliptic reduction behind the period-average law δ(ε) = 1 − (2/π)K(2ε), a computation showing the coefficients read the profile of the field and not just its gradient, the saddle-node corollary — and an explicit ledger separating theorem, measurement, and conjecture.

• 7 Oct 2026 The Conjugate Locus of Rotating Geodesics on SE(2)

  From the kernel of the exponential map to folds, cusp seams, and a conditional global incidence criterion.

• 7 Oct 2026 All Conjugate Times of the Rotating Geodesics on SE(2)

  The exact bracket mechanism, its critical exception, and what the Lean development formalizes.

• 7 Oct 2026 Inverting the Exponential Map and Counting Geodesics on SE(2)

  An exact scalar inverse, finite rotating fibers, infinite winding families, and count formulas with explicit domains.