A. Majumdar, B.N. Bakalov, D. Baron, and Y. Liu, Implementing finite impulse response filters on quantum computers, accepted in 2025 IEEE International Conference on Acoustics, Speech, and Signal Processing, 5 pp.; arXiv:2501.10166

X. Lu, B.N. Bakalov, and Y. Liu, Quantum coherent state transform on continuous-variable systems, preprint, 13 pp.; arXiv:2412.12871

E. Kökcü, R. Wiersema, A.F. Kemper, and B.N. Bakalov,  Classification of dynamical Lie algebras generated by spin interactions on undirected graphs, preprint, 20 pp.; arXiv:2409.19797

B. Bakalov and J.J. Villarreal, Braided logarithmic vertex algebras, to appear in Proceedings of the American Mathematical Society (2024), 15 pp.; arXiv:2406.08458

R. Wiersema, A.F. Kemper, B.N. Bakalov, and N. Killoran, Geometric quantum machine learning with horizontal quantum gates, Physical Review Research 7 (2025) 013148; arXiv:2406.04418

M. Ragone, B.N. Bakalov, F. Sauvage, A.F. Kemper, C. Ortiz Marrero, M. Larocca, and M. Cerezo, A Lie algebraic theory of barren plateaus for deep parametrized quantum circuits, Nature Communications 15 (2024), 7172; arXiv:2309.09342

R. Wiersema, E. Kökcü, A.F. Kemper, and B.N. Bakalov,  Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies, npj Quantum Information 10 (2024), 110; arXiv:2309.05690

B. Bakalov and J. Wang, Poisson pseudoalgebras, Journal of Algebra 679 (2025), 117-168; arXiv:2307.16388

B. Bakalov and J.J. Villarreal, Logarithmic vertex algebras and non-local Poisson vertex algebras, Communications in Mathematical Physics 404 (2023), 185-226; arXiv:2210.15568

B. Bakalov, J. Elsinger, V.G. Kac, and I. Todorov, Orbifolds of lattice vertex algebras, Japanese Journal of Mathematics 18 (2023), 169-274; arXiv:2210.11936

B.N. Bakalov and N.M. Nikolov, Reconstruction of vertex algebras in even higher dimensions, Annales Henri Poincaré 25 (2024), 3927-3956; arXiv:2209.02421

B.N. Bakalov and J.J. Villarreal, Logarithmic vertex algebras, Transformation Groups 29 (2024), 1295-1357; arXiv:2107.10206

B. Bakalov, A. De Sole, R. Heluani, V.G. Kac, and V. Vignoli, Classical and variational Poisson cohomology, Japanese Journal of Mathematics 16 (2021), 203-246; arXiv:2101.10939

B. Bakalov and S. Kirk,  Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras, Journal of Mathematical Physics 62 (2021), 031703, 14 pp.; arXiv:2009.01321

B. Bakalov, A. De Sole, and V.G. Kac, Computation of cohomology of vertex algebras, Japanese Journal of Mathematics 16 (2021), 81-154; arXiv:2002.03612

B. Bakalov, A. D'Andrea and V.G. Kac, Irreducible modules over finite simple Lie pseudoalgebras III. Primitive pseudoalgebras of type H, Advances in Mathematics 392 (2021), paper No. 107963, 81 pp.; arXiv:2001.04104

B. Bakalov, A. De Sole, V.G. Kac, and V. Vignoli, Poisson vertex algebra cohomology and differential Harrison cohomology, in A. Alekseev et al. (eds.), Representation theory, mathematical physics, and integrable systems, Progress in Math. 340, Birkhäuser, Cham, 2021, pp. 39-69; arXiv:1907.06934

B. Bakalov, A. De Sole, and V.G. Kac, Computation of cohomology of Lie conformal and Poisson vertex algebras, Selecta Mathematica (NS) 26 (2020), no. 4, paper no. 50, 51 pp.; arXiv:1903.12059

B. Bakalov, A. De Sole, R. Heluani, and V.G. Kac, Chiral versus classical operad, International Mathematics Research Notices 2020 (2020), no. 19, 6463-6488; arXiv:1812.05972

B. Bakalov and A. Yadavalli, Darboux transformations and Fay identities for the extended bigraded Toda hierarchy, Journal of Physics A: Mathematical and Theoretical 53 (2020), no. 6, 065202, 24 pp.; arXiv:1812.00577

B. Bakalov, A. De Sole, R. Heluani, and V.G. Kac, An operadic approach to vertex algebra and Poisson vertex algebra cohomology, Japanese Journal of Mathematics 14 (2019), no. 2, 249-342; arXiv:1806.08754

B. Bakalov and M. Sullivan, Twisted logarithmic modules of lattice vertex algebras, Transactions of the American Mathematical Society 371 (2019), no. 11, 7995-8027; arXiv:1708.08172

B. Bakalov and M. Sullivan, Inhomogeneous supersymmetric bilinear forms, Contemporary Mathematics 713 (2018), 35-45; arXiv:1612.09400

B. Bakalov and M. Sullivan, Twisted logarithmic modules of free field algebras, Journal of Mathematical Physics 57 (2016), 061701, 18 pp.; arXiv:1604.00375

B. Bakalov and W. Wheeless, Additional symmetries of the extended bigraded Toda hierarchy, Journal of Physics A: Mathematical and Theoretical 49 (2016), 055201, 25 pp.; arXiv:1507.07488

B. Bakalov, Twisted logarithmic modules of vertex algebras, Communications in Mathematical Physics 345 (2016), no. 1, 355-383; arXiv:1504.06381

B. Bakalov and J. Elsinger, Orbifolds of lattice vertex algebras under an isometry of order two, Journal of Algebra 441 (2015), 57-83; arXiv:1502.04756

B. Bakalov and D. Fleisher, Bosonizations of  sl_2^ and integrable hierarchies, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 11 (2015) 005, 19 pp.; arXiv:1407.5335

B. Bakalov and T. Milanov, W-constraints for the total descendant potential of a simple singularity, Compositio Mathematica 149 (2013), no. 5, 840-888; arXiv:1203.3414

B. Bakalov, A. D'Andrea and V.G. Kac, Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type K, Advances in Mathematics 232 (2013), no. 1, 188-237; arXiv:1003.6055

B. Bakalov and A. De Sole, Non-linear Lie conformal algebras with three generators, Selecta Mathematica (NS) 14 (2009), no. 2, 163-198; arXiv:0710.2281

B. Bakalov and T. Milanov, W_{N+1}-constraints for singularities of type A_N, unpublished (2008); arXiv:0811.1965

B. Bakalov and N.M. Nikolov, Constructing models of vertex algebras in higher dimensions, Bulgarian Journal of Physics 35 (2008), no. s1, 36-42.

B. Bakalov, N.M. Nikolov, K.-H. Rehren and I. Todorov, Infinite-dimensional Lie algebras in 4D conformal quantum field theory, Journal of Physics A: Mathematical and Theoretical 41 (2008) 194002, 12 pp.; arXiv:0711.0627

B. Bakalov, Vertex (Lie) algebras in higher dimensions. Hermann Weyl prize lecture, in Proceedings of the XXVI International Colloquium on Group Theoretical Methods in Physics, ed. J.L. Birman, S. Catto and B. Nicolescu, Canopus Pub. Ltd., Exeter, UK, 2009, pp. 15-20; arXiv:math-ph/0608054

B. Bakalov, N.M. Nikolov, K.-H. Rehren and I. Todorov, Unitary positive-energy representations of scalar bilocal quantum fields, Communications in Mathematical Physics 271 (2007), no. 1, 223-246; arXiv:math-ph/0604069

B. Bakalov and V.G. Kac, Generalized vertex algebras, in Lie theory and its applications in physics VI, ed. H.-D. Doebner and V.K. Dobrev, Heron Press, Sofia, 2006, pp. 3-25; arXiv:math/0602072

B. Bakalov and N.M. Nikolov, Jacobi identity for vertex algebras in higher dimensions, Journal of Mathematical Physics 47 (2006), no. 5, 053505, 30 pp.; arXiv:math-ph/0601012

B. Bakalov, A. D'Andrea and V.G. Kac, Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S, Advances in Mathematics 204 (2006), no. 1, 278-346; arXiv:math/0410213

B. Bakalov and V.G. Kac, Twisted modules over lattice vertex algebras, in Lie theory and its applications in physics V, ed. H.-D. Doebner and V.K. Dobrev, World Scientific Publishing, River Edge, NJ, 2004, pp. 3-26; arXiv:math/0402315

B. Bakalov and V.G. Kac, Field algebras, International Mathematics Research Notices 2003, no. 3, 123-159; arXiv:math/0204282

B. Bakalov, A. D'Andrea and V.G. Kac, Theory of finite pseudoalgebras, Advances in Mathematics 162 (2001), no. 1, 1-140; arXiv:math/0007121

B. Bakalov and A. Kirillov, Jr., On the lego-Teichmüller game, Transformation Groups 5 (2000), no. 3, 207-244; arXiv:math/9809057

B. Bakalov, V.G. Kac and A.A. Voronov, Cohomology of conformal algebras, Communications in Mathematical Physics 200 (1999), no. 3, 561-598; arXiv:math/9803022

B. Bakalov, E. Horozov and M. Yakimov, Automorphisms of the Weyl algebra and bispectral operators, in The bispectral problem, ed. J. Harnad and A. Kasman, CRM Proceedings Lecture Notes 14, American Mathematical Society, Providence, RI, 1998, pp. 3-10; arXiv:q-alg/9707018

B. Bakalov, Beilinson-Drinfeld's definition of a chiral algebra, unpublished, January 1997.

B. Bakalov, E. Horozov and M. Yakimov, General methods for constructing bispectral operators, Physics Letters A 222 (1996), no. 1-2, 59-66; arXiv:q-alg/9605011

B. Bakalov, E. Horozov and M. Yakimov, Highest weight modules over W_{1+infty} algebra and the bispectral problem, Duke Mathematical Journal 93 (1998), no. 1, 41-72; arXiv:q-alg/9602012 

B. Bakalov, E. Horozov and M. Yakimov, Bispectral algebras of commuting ordinary differential operators, Communications in Mathematical Physics 190 (1997), no. 2, 331-373; arXiv:q-alg/9602011

B. Bakalov, E. Horozov and M. Yakimov, Highest weight modules of W_{1+infty}, Darboux transformations and the bispectral problem, Serdica Mathematical Journal 23 (1997), no. 2, 95-112; arXiv:q-alg/9601017

B. Bakalov, E. Horozov and M. Yakimov, Bäcklund-Darboux transformations in Sato's Grassmannian, Serdica Mathematical Journal 22 (1996), no. 4, 571-586; arXiv:q-alg/9602010

B.N. Bakalov, L.S. Georgiev and I.T. Todorov, A QFT approach to W_{1+infty}, in New trends in quantum field theory, ed. A. Ganchev et al., Heron Press, Sofia, 1996, pp. 147-158; arXiv:hep-th/9512160

B. Bakalov, E. Horozov and M. Yakimov, Tau-functions as highest weight vectors for W_{1+infty} algebra, Journal of Physics A 29 (1996), no. 17, 5565-5573; arXiv:hep-th/9510211