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Recent Publications
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Curious about current research in our department? View recent publications by Dartmouth Mathematics faculty and students:

Selected Publications

Pervasive chromosomal instability and karyotype order in tumour evolution
Thomas B. K. Watkins, Emilia L. Lim, Marina Petkovic, Sergi Elizalde et al.
Nature, 2020
Mathematically modeling spillovers of an emerging infectious zoonosis with an intermediate host
Katherine Royce, Feng Fu
PLOS One, 2020
Stable High Order Quadrature Rules for Scattered Data and General Weight Functions
Jan Glaubitz
SIAM Journal of Numerical Analysis, 2020
On the Poisson relation for compact Lie groups
Craig Sutton
Annals of Global Analysis and Geometry, 2020
An insertion algorithm on multiset partitions with applications to diagram algebras
Laura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling, Mike Zabrocki
Journal of Algebra, 2020
Commutation and Normal Ordering for Operators on Symmetric Functions
Emmanuel Briand, Peter R. W. McNamara, Rosa Orellana, Mercedes Rosas
Séminaire Lotharingien de Combinatoire, 2019
Conic bundle fourfolds with nontrivial unramified Brauer group
Asher Auel, Christian Böhning, Hans-Christian Graf von Bothmer, Alena Pirutka
Journal of Algebraic Geometry, 2019
Consecutive Patterns in Inversion Sequences II: Avoiding Patterns of Relations
Juan S. Auli, Sergi Elizalde
Journal of Integer Sequences, 2019
Consecutive Patterns in Inversion Sequences
Juan S. Auli, Sergi Elizalde
Discrete Mathematics & Theoretical Computer Science, 2019
Spectral clustering methods for multiplex networks
Daryl DeFord, Scott Pauls
Physica A: Statistical Mechanics and its Applications, 2019
Edge-adaptive $\ell_2$ regularization image reconstruction from non-uniform Fourier data
Victor Churchill, Rick Archibald, Anne Gelb
Inverse Problems and Imaging, 2019
Universal Triviality of the Chow Group of 0-cycles and the Brauer Group​
Asher Auel, Alessandro Bigazzi, Christian Böhning, Hans-Christian Graf von Bothmer
International Mathematics Research Notices, 2019
Detecting Edges from Non-uniform Fourier Data via Sparse Bayesian Learning
Victor Churchill, Anne Gelb
Journal of Scientific Computing, 2019
Edge-masked CT image reconstruction from limited data
Victor Churchill, Anne Gelb
Proceedings Volume 11072, 15th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 2019
Products of symmetric group characters
Rosa Orellana, Mike Zabrocki
Journal of Combinatorial Theory, Series A, 2019
The Belyi degree of a curve is computable
Ariyan Javanpeykar, John Voight
Contemporary Mathematics, 2019
Cyclic descents for near-hook and two-row shapes
Ron M. Adin, Sergi Elizalde, Yuval Roichman
European Journal of Combinatorics, 2019
The reciprocal sum of the amicable numbers
Hanh My Nguyen, Carl Pomerance
Mathematics of Computation, 2019
The first function and its iterates
Carl Pomerance
Connections in Discrete Mathematics: A Celebration of the Work of Ron Graham, 2018
Reduction of Mosquito Abundance Via Indoor Wall Treatments: A Mathematical Model
Vardayani Ratti, Evan Rheingold, Dorothy Wallace
Journal of Medical Entomology, 2018
Opinion formation on dynamic networks: identifying conditions for the emergence of partisan echo chambers
Tucker Evans, Feng Fu
Royal Society Open Science, 2018

Publications indexed by MathSciNet, 2020

2020, 28 publications (thus far):

Combinatorics

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.

Number theory

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.

Commutative algebra

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.

Algebraic geometry

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.

Topological groups, Lie groups

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.

Differential geometry

Chernov, Vladimir and Nemirovski, Stefan, Interval topology in contact geometry,
Communications in Contemporary Mathematics, 22 (2020), 10.1142/S0219199719500421.

Manifolds and cell complexes

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.

Global analysis, analysis on manifolds

Sutton, Craig, On the Poisson relation for compact Lie groups,
Annals of Global Analysis and Geometry, 57 (2020), 10.1007/s10455-020-09712-x.

Numerical analysis

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.

Statistical mechanics, structure of matter

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.

Game theory, economics, finance, and other social and behavioral sciences

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.

Biology and other natural sciences

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.


Publications indexed by MathSciNet, 2019

2019, 45 publications:

Mathematical logic and foundations

Groszek, Marcia J. and Hamkins, Joel David, The implicitly constructible universe,
The Journal of Symbolic Logic, 84 (2019), 10.1017/jsl.2018.57.

Combinatorics

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.

Number theory

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.

Commutative algebra

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.

Algebraic geometry

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.

Linear and multilinear algebra; matrix theory

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.

Group theory and generalizations

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.

Functional analysis

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.

Differential geometry

Gordon, Carolyn S. and Jablonski, Michael R., Einstein solvmanifolds have maximal symmetry,
Journal of Differential Geometry, 111 (2019), 10.4310/jdg/1547607686.

Manifolds and cell complexes

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.

Global analysis, analysis on manifolds

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.

Numerical analysis

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.

Game theory, economics, finance, and other social and behavioral sciences

Ginsberg, Alexander G. and Fu, Feng, Evolution of cooperation in public goods games with stochastic opting-out,
Games, 10 (2019), 10.3390/g10010001.

Information and communication theory, circuits

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.