Curious about current research in our department? View recent publications by Dartmouth Mathematics faculty and students:
Elizalde, Sergi and Moore, Katherine, Characterizations and enumerations of patterns of signed shifts,
Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences, 277 (2020), 10.1016/j.dam.2019.09.002.
Kenyon, Richard and Kráľ, Daniel and Radin, Charles and Winkler, Peter, Permutations with fixed pattern densities,
Random Structures & Algorithms, 56 (2020), 10.1002/rsa.20882.
Auli, Juan S. and Elizalde, Sergi, Inversion sequences avoiding consecutive patterns,
Séminaire Lotharingien de Combinatoire, 84B (2020).
Elizalde, Sergi, Measuring symmetry in lattice paths and partitions,
Séminaire Lotharingien de Combinatoire, 84B (2020).
Herbrich, Peter, Zeta-equivalent digraphs: simultaneous cospectrality,
Linear Algebra and its Applications, 602 (2020), 10.1016/j.laa.2020.04.027.
Colmenarejo, Laura and Orellana, Rosa and Saliola, Franco and Schilling, Anne and Zabrocki, Mike, An insertion algorithm for diagram algebras,
Séminaire Lotharingien de Combinatoire, 84B (2020).
Colmenarejo, Laura and Orellana, Rosa and Saliola, Franco and Schilling, Anne and Zabrocki, Mike, An insertion algorithm on multiset partitions with applications to diagram algebras,
Journal of Algebra, 557 (2020), 10.1016/j.jalgebra.2020.04.010.
Pizzo, Maggie and Pomerance, Carl and Voight, John, Counting elliptic curves with an isogeny of degree three,
Proceedings of the American Mathematical Society. Series B, 7 (2020), 10.1090/bproc/45.
Kinlaw, Paul and Kobayashi, Mitsuo and Pomerance, Carl, On the equation $\varphi (n)=\varphi (n+1)$,
Acta Arithmetica, 196 (2020), 10.4064/aa190627-20-1.
Doran, Charles F. and Kelly, Tyler L. and Salerno, Adriana and Sperber, Steven and Voight, John and Whitcher, Ursula, Hypergeometric decomposition of symmetric K3 quartic pencils,
Research in the Mathematical Sciences, 7 (2020), 10.1007/s40687-020-0203-3.
Lercier, Reynald and Ritzenthaler, Christophe and Sijsling, Jeroen, Reconstructing plane quartics from their invariants,
Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science, 63 (2020), 10.1007/s00454-018-0047-4.
Auel, Asher and Böhning, Christian and von Bothmer, Hans-Christian Graf and Pirutka, Alena, Conic bundle fourfolds with nontrivial unramified Brauer group,
Journal of Algebraic Geometry, 29 (2020), 10.1090/jag/743.
Gordon, Carolyn and Makover, Eran and Muetzel, Bjoern and Webb, David, Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds,
The Tohoku Mathematical Journal. Second Series, 72 (2020), 10.2748/tmj/1585101624.
Clark, Lisa O. and Steinberg, Benjamin and van Wyk, Daniel W., GCR and CCR Steinberg algebras,
Canadian Journal of Mathematics. Journal Canadien de Mathématiques, 72 (2020), 10.4153/s0008414x19000415.
Chernov, Vladimir and Nemirovski, Stefan, Interval topology in contact geometry,
Communications in Contemporary Mathematics, 22 (2020), 10.1142/S0219199719500421.
Allen, Samantha, Concordances from differences of torus knots to $L$-space knots,
Proceedings of the American Mathematical Society, 148 (2020), 10.1090/proc/14833.
Chernov, Vladimir and Freund, David and Sadykov, Rustam, Minimizing intersection points of curves under virtual homotopy,
Journal of Knot Theory and its Ramifications, 29 (2020), 10.1142/S0218216520500078.
Allen, Samantha, Using secondary Upsilon invariants to rule out stable equivalence of knot complexes,
Algebraic & Geometric Topology, 20 (2020), 10.2140/agt.2020.20.29.
Petkova, Ina and Wong, C.-M. Michael, Skein relations for tangle Floer homology,
Quantum Topology, 11 (2020), 10.4171/QT/134.
Chernov, V. and Martin, G. and Petkova, I., Khovanov homology and causality in spacetimes,
Journal of Mathematical Physics, 61 (2020), 10.1063/5.0002297.
Cahn, Patricia and Chernov, Vladimir, Loose Legendrian and pseudo-Legendrian knots in 3-manifolds,
The Journal of Symplectic Geometry, 18 (2020), 10.4310/JSG.2020.v18.n3.a2.
Sutton, Craig, On the Poisson relation for compact Lie groups,
Annals of Global Analysis and Geometry, 57 (2020), 10.1007/s10455-020-09712-x.
Lee, Yoonsang, Parameter estimation in the stochastic superparameterization of two-layer quasigeostrophic flows,
Research in the Mathematical Sciences, 7 (2020), 10.1007/s40687-020-00213-8.
Menz, Georg and Tassy, Martin, A variational principle for a non-integrable model,
Probability Theory and Related Fields, 177 (2020), 10.1007/s00440-020-00959-w.
Lammers, Piet G. and Tassy, Martin, Variational principle for weakly dependent random fields,
Journal of Statistical Physics, 179 (2020), 10.1007/s10955-020-02538-8.
Wang, Xin and Zheng, Zhiming and Fu, Feng, Steering eco-evolutionary game dynamics with manifold control,
Proceedings A, 476 (2020), 10.1098/rspa.2019.0643.
Garcia, Victor and Bonhoeffer, Sebastian and Fu, Feng, Cancer-induced immunosuppression can enable effectiveness of immunotherapy through bistability generation: A mathematical and computational examination,
Journal of Theoretical Biology, 492 (2020), 10.1016/j.jtbi.2020.110185.
Ratti, Vardayani and Nanda, Seema and Eszterhas, Susan K. and Howell, Alexandra L. and Wallace, Dorothy I., A mathematical model of HIV dynamics treated with a population of gene-edited haematopoietic progenitor cells exhibiting threshold phenomenon,
Mathematical Medicine and Biology. A Journal of the IMA, 37 (2020), 10.1093/imammb/dqz011.
Groszek, Marcia J. and Hamkins, Joel David, The implicitly constructible universe,
The Journal of Symbolic Logic, 84 (2019), 10.1017/jsl.2018.57.
Elizalde, Sergi and Troyka, Justin M., Exact and asymptotic enumeration of cyclic permutations according to descent set,
Journal of Combinatorial Theory. Series A, 165 (2019), 10.1016/j.jcta.2019.02.012.
Troyka, Justin M., On the centrosymmetric permutations in a class,
The Australasian Journal of Combinatorics, 74 (2019), 10.1007/s10898-019-00783-0.
Blackburn, Simon R. and Homberger, Cheyne and Winkler, Peter, The minimum Manhattan distance and minimum jump of permutations,
Journal of Combinatorial Theory. Series A, 161 (2019), 10.1016/j.jcta.2018.09.002.
Auli, Juan S. and Elizalde, Sergi, Consecutive patterns in inversion sequences II: Avoiding patterns of relations,
Journal of Integer Sequences, 22 (2019).
Auli, Juan S. and Elizalde, Sergi, Consecutive patterns in inversion sequences,
Discrete Mathematics & Theoretical Computer Science. DMTCS., 21 (2019).
Chandgotia, Nishant and Pak, Igor and Tassy, Martin, Kirszbraun-type theorems for graphs,
Journal of Combinatorial Theory. Series B, 137 (2019), 10.1016/j.jctb.2018.11.007.
Briand, Emmanuel and McNamara, Peter R. W. and Orellana, Rosa and Rosas, Mercedes, Commutation and normal ordering for operators on symmetric functions,
Séminaire Lotharingien de Combinatoire, 80 (2019).
Adin, Ron M. and Elizalde, Sergi and Roichman, Yuval, Cyclic descents for near-hook and two-row shapes,
European Journal of Combinatorics, 79 (2019), 10.1016/j.ejc.2019.02.009.
Clark, Pete L. and Voight, John, Algebraic curves uniformized by congruence subgroups of triangle groups,
Transactions of the American Mathematical Society, 371 (2019), 10.1090/tran/7139.
Nguyen, Hanh My and Pomerance, Carl, The reciprocal sum of the amicable numbers,
Mathematics of Computation, 88 (2019), 10.1090/mcom/3362.
Banks, William and Pollack, Paul and Pomerance, Carl, Symmetric primes revisited,
Integers. Electronic Journal of Combinatorial Number Theory, 19 (2019).
Pomerance, Carl and Spicer, Chris, Proof of the Sheldon conjecture,
American Mathematical Monthly, 126 (2019), 10.1080/00029890.2019.1626672.
Lichtman, Jared Duker and Pomerance, Carl, The Erdős conjecture for primitive sets,
Proceedings of the American Mathematical Society. Series B, 6 (2019), 10.1090/bproc/40.
Linowitz, Benjamin and Stover, Matthew and Voight, John, Correction to: Commensurability classes of fake quadrics,
Selecta Mathematica. New Series, 25 (2019), 10.1007/s00029-019-0502-y.
Linowitz, Benjamin and Stover, Matthew and Voight, John, Commensurability classes of fake quadrics,
Selecta Mathematica. New Series, 25 (2019), 10.1007/s00029-019-0492-9.
Brumer, Armand and Pacetti, Ariel and Poor, Cris and Tornaría, Gonzalo and Voight, John and Yuen, David S., On the paramodularity of typical abelian surfaces,
Algebra & Number Theory, 13 (2019), 10.2140/ant.2019.13.1145.
Park, Jennifer and Poonen, Bjorn and Voight, John and Wood, Melanie Matchett, A heuristic for boundedness of ranks of elliptic curves,
Journal of the European Mathematical Society (JEMS), 21 (2019), 10.4171/JEMS/893.
Costa, Edgar and Mascot, Nicolas and Sijsling, Jeroen and Voight, John, Rigorous computation of the endomorphism ring of a Jacobian,
Mathematics of Computation, 88 (2019), 10.1090/mcom/3373.
Musty, Michael and Schiavone, Sam and Sijsling, Jeroen and Voight, John, A database of Belyi maps,
Proceedings of the Thirteenth Algorithmic Number Theory Symposium, 2 (2019).
Javanpeykar, Ariyan and Voight, John, The Belyi degree of a curve is computable,
Arithmetic geometry: computation and applications, 722 (2019), 10.1090/conm/722/14533.
Babei, Angelica, Computing normalizers of tiled orders in $M_n(k)$,
Proceedings of the Thirteenth Algorithmic Number Theory Symposium, 2 (2019).
Lichtman, Jared Duker and Martin, Greg and Pomerance, Carl, Primes in prime number races,
Proceedings of the American Mathematical Society, 147 (2019), 10.1090/proc/14569.
Banks, W. D. and Friedlander, J. B. and Pomerance, C. and Shparlinski, I. E., Counting integers with a smooth totient,
The Quarterly Journal of Mathematics, 70 (2019), 10.1093/qmathj/haz026.
Smertnig, Daniel and Voight, John, Definite orders with locally free cancellation,
Transactions of the London Mathematical Society, 6 (2019), 10.1112/tlm3.12019.
Lenstra, Jr., H. W. and Pomerance, Carl, Primality testing with Gaussian periods,
Journal of the European Mathematical Society (JEMS), 21 (2019), 10.4171/JEMS/861.
Garcia Elsener, Ana and Lampe, Philipp and Smertnig, Daniel, Factoriality and class groups of cluster algebras,
Advances in Mathematics, 358 (2019), 10.1016/j.aim.2019.106858.
Bouyer, Florian and Costa, Edgar and Festi, Dino and Nicholls, Christopher and West, Mckenzie, On the arithmetic of a family of degree-two K3 surfaces,
Mathematical Proceedings of the Cambridge Philosophical Society, 166 (2019), 10.1017/S0305004118000087.
Lercier, Reynald and Ritzenthaler, Christophe and Rovetta, Florent and Sijsling, Jeroen and Smith, Benjamin, Distributions of traces of Frobenius for smooth plane curves over finite fields,
Experimental Mathematics, 28 (2019), 10.1080/10586458.2017.1328321.
Chen, Ryan C. and Kim, Yujin H. and Lichtman, Jared D. and Miller, Steven J. and Sweitzer, Shannon and Winsor, Eric, Spectral statistics of non-Hermitian random matrix ensembles,
Random Matrices. Theory and Applications, 8 (2019), 10.1142/S2010326319500059.
Orellana, Rosa and Zabrocki, Mike, Products of symmetric group characters,
Journal of Combinatorial Theory. Series A, 165 (2019), 10.1016/j.jcta.2019.02.019.
Ionescu, Marius and Kumjian, Alex and Sims, Aidan and Williams, Dana P., The Dixmier-Douady classes of certain groupoid $C^\ast$-algebras with continuous trace,
Journal of Operator Theory, 81 (2019), 10.7900/jot.
Gordon, Carolyn S. and Jablonski, Michael R., Einstein solvmanifolds have maximal symmetry,
Journal of Differential Geometry, 111 (2019), 10.4310/jdg/1547607686.
Heap, Aaron and Knowles, Douglas, Space-efficient knot mosaics for prime knots with mosaic number 6,
Involve. A Journal of Mathematics, 12 (2019), 10.2140/involve.2019.12.767.
Ellis, Alexander P. and Petkova, Ina and Vértesi, Vera, Quantum gl(1|1) and tangle Floer homology,
Advances in Mathematics, 350 (2019), 10.1016/j.aim.2019.04.023.
van Erp, Erik and Yuncken, Robert, A groupoid approach to pseudodifferential calculi,
Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 756 (2019), 10.1515/crelle-2017-0035.
Pollack, Paul and Pomerance, Carl, Eigenvalues of the Laplacian on domains with fractal boundary,
Horizons of fractal geometry and complex dimensions, 731 (2019), 10.1090/conm/731/14678.
Arias-Marco, Teresa and Dryden, Emily B. and Gordon, Carolyn S. and Hassannezhad, Asma and Ray, Allie and Stanhope, Elizabeth, Spectral geometry of the Steklov problem on orbifolds,
International Mathematics Research Notices. IMRN (2019), 10.1093/imrn/rnx117.
Gelb, Anne and Scarnati, Theresa, Reducing effects of bad data using variance based joint sparsity recovery,
Journal of Scientific Computing, 78 (2019), 10.1007/s10915-018-0754-2.
Adcock, Ben and Gelb, Anne and Song, Guohui and Sui, Yi, Joint sparse recovery based on variances,
SIAM Journal on Scientific Computing, 41 (2019), 10.1137/17M1155983.
Gelb, Anne and Hou, X. and Li, Q., Numerical analysis for conservation laws using $l_1$ minimization,
Journal of Scientific Computing, 81 (2019), 10.1007/s10915-019-00982-7.
Glaubitz, Jan and Gelb, Anne, High order edge sensors with $\ell^1$ regularization for enhanced discontinuous Galerkin methods,
SIAM Journal on Scientific Computing, 41 (2019), 10.1137/18M1195280.
Ginsberg, Alexander G. and Fu, Feng, Evolution of cooperation in public goods games with stochastic opting-out,
Games, 10 (2019), 10.3390/g10010001.
Churchill, Victor and Archibald, Rick and Gelb, Anne, Edge-adaptive $\ell_2$ regularization image reconstruction from non-uniform Fourier data,
Inverse Problems and Imaging, 13 (2019), 10.3934/ipi.2019042.
Churchill, Victor and Gelb, Anne, Detecting edges from non-uniform Fourier data via sparse Bayesian learning,
Journal of Scientific Computing, 80 (2019), 10.1007/s10915-019-00955-w.