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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:

We encourage you to view individual faculty websites for more complete listings of publications.

Publications indexed by MathSciNet

2022, 11 publications (thus far):

Combinatorics

Domagalski, Rachel and Elizalde, Sergi and Liang, Jinting and Minnich, Quinn and Sagan, Bruce E. and Schmidt, Jamie and Sietsema, Alexander, Cyclic pattern containment and avoidance,
Advances in Applied Mathematics, 135 (2022), 10.1016/j.aam.2022.102320.

Number theory

Pomerance, Carl, Coprime matchings,
Integers. Electronic Journal of Combinatorial Number Theory, 22 (2022).

Pomerance, Carl and Weingartner, Andreas, On primes and practical numbers,
Ramanujan Journal. An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan, 57 (2022), 10.1007/s11139-020-00354-y.

Algebraic geometry

Auel, Asher, Brill-Noether special cubic fourfolds of discriminant 14,
Facets of algebraic geometry. Vol. I, 472 (2022).

Heal, Kathryn and Kulkarni, Avinash and Sertöz, Emre Can, Deep learning Gauss-Manin connections,
Advances in Applied Clifford Algebras, 32 (2022), 10.1007/s00006-022-01207-1.

Functional analysis

Van Wyk, Daniel W. and Williams, Dana P., The primitive ideal space of groupoid $C^*$-algebras for groupoids with abelian isotropy,
Indiana University Mathematics Journal, 71 (2022).

Gorokhovsky, Alexander and van Erp, Erik, The Heisenberg calculus, index theory and cyclic cohomology,
Advances in Mathematics, 399 (2022), 10.1016/j.aim.2022.108229.

Manifolds and cell complexes

Chernov, Vladimir V., Graded Poisson algebras on bordism groups of garlands,
Topology and its Applications, 305 (2022), 10.1016/j.topol.2021.107919.

Petkova, Ina, An absolute $\Bbb{Z}/2$ grading on bordered Heegaard Floer homology,
New York Journal of Mathematics, 28 (2022).

Global analysis, analysis on manifolds

Bérard, Pierre and Webb, David L., One can't hear orientability of surfaces,
Mathematische Zeitschrift, 300 (2022), 10.1007/s00209-021-02758-y.

Information and communication theory, circuits

Ellison, Matthew and Johnson, Joseph, Monotonicity of code symbol frequencies in recency rank encoding,
International Journal of Mathematics and Computer Science, 17 (2022).

2021, 43 publications (thus far):

Combinatorics

Auli, Juan S. and Elizalde, Sergi, Wilf equivalences between vincular patterns in inversion sequences,
Applied Mathematics and Computation, 388 (2021), 10.1016/j.amc.2020.125514.

Elizalde, Sergi, Descents on quasi-Stirling permutations,
Journal of Combinatorial Theory. Series A, 180 (2021), 10.1016/j.jcta.2021.105429.

Elizalde, Sergi, Bijections for restricted inversion sequences and permutations with fixed points,
The Australasian Journal of Combinatorics, 80 (2021).

Elizalde, Sergi, A simple bijective proof of a familiar derangement recurrence,
The Fibonacci Quarterly. The Official Journal of the Fibonacci Association, 59 (2021).

Elizalde, Sergi, The degree of symmetry of lattice paths,
Annals of Combinatorics, 25 (2021), 10.1007/s00026-021-00551-6.

Elizalde, Sergi, Symmetric peaks and symmetric valleys in Dyck paths,
Discrete Mathematics, 344 (2021), 10.1016/j.disc.2021.112364.

Elizalde, Sergi and Flórez, Rigoberto and Ramírez, Jose Luis, Enumerating symmetric peaks in non-decreasing Dyck paths,
Ars Mathematica Contemporanea, 21 (2021), 10.26493/1855-3974.2478.d1b.

Jones, Matthew I. and Pauls, Scott D. and Fu, Feng, The dual problems of coordination and anti-coordination on random bipartite graphs,
New Journal of Physics, 23 (2021), 10.1088/1367-2630/ac3319.

Orellana, Rosa and Zabrocki, Mike, The Hopf structure of symmetric group characters as symmetric functions,
Algebraic Combinatorics, 4 (2021), 10.5802/alco.170.

Orellana, Rosa and Zabrocki, Mike, Symmetric group characters as symmetric functions,
Advances in Mathematics, 390 (2021), 10.1016/j.aim.2021.107943.

Number theory

Costa, Edgar and Lombardo, Davide and Voight, John, Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms,
Research in Number Theory, 7 (2021), 10.1007/s40993-021-00264-y.

Pomerance, Carl, A note on Carmichael numbers in residue classes,
Integers. Electronic Journal of Combinatorial Number Theory, 21A (2021).

Pomerance, Carl and Wagstaff, Jr., Samuel S., Some thoughts on pseudoprimes,
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques (2021).

Ford, Kevin and Konyagin, Sergei and Maynard, James and Pomerance, Carl and Tao, Terence, Long gaps in sieved sets,
Journal of the European Mathematical Society (JEMS), 23 (2021), 10.4171/jems/1020.

Voight, John, Quaternion algebras,
Graduate Texts in Mathematics, 288 ([2021] © 2021), 10.1007/978-3-030-56694-4.

Assaf, Eran, Existence of invariant norms in $p$-adic representations of $GL_2(F)$ of large weights,
Journal of Number Theory, 224 (2021), 10.1016/j.jnt.2021.01.021.

Brent, Richard and Pomerance, Carl and Purdum, David and Webster, Jonathan, Algorithms for the multiplication table problem,
Integers. Electronic Journal of Combinatorial Number Theory, 21 (2021).

Pomerance, Carl and Schaefer, Edward F., Elliptic curves with Galois-stable cyclic subgroups of order 4,
Research in Number Theory, 7 (2021), 10.1007/s40993-021-00259-9.

Algebraic geometry

Auel, Asher and Bigazzi, Alessandro and Böhning, Christian and von Bothmer, Hans-Christian Graf, Universal triviality of the Chow group of 0-cycles and the Brauer group,
International Mathematics Research Notices. IMRN (2021), 10.1093/imrn/rnz171.

Auel, Asher and Bigazzi, Alessandro and Böhning, Christian and Graf von Bothmer, Hans-Christian, Unramified Brauer groups of conic bundle threefolds in characteristic two,
American Journal of Mathematics, 143 (2021), 10.1353/ajm.2021.0040.

Associative rings and algebras

Chari, Sara and Smertnig, Daniel and Voight, John, On basic and Bass quaternion orders,
Proceedings of the American Mathematical Society. Series B, 8 (2021), 10.1090/bproc/68.

de Castro, Gilles G. and Gonçalves, Daniel and van Wyk, Daniel W., Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems,
Journal of Algebra, 579 (2021), 10.1016/j.jalgebra.2021.04.002.

Nonassociative rings and algebras

Friedmann, Tamar and Hanlon, Phil and Stanley, Richard P. and Wachs, Michelle L., On a generalization of Lie$(k)$: a CataLAnKe theorem,
Advances in Mathematics, 380 (2021), 10.1016/j.aim.2021.107570.

Topological groups, Lie groups

de Castro, Gilles Gonçalves and Gonçalves, Daniel and van Wyk, Daniel W., Topological full groups of ultragraph groupoids as an isomorphism invariant,
Münster Journal of Mathematics, 14 (2021), 10.17879/59019520638.

Functions of a complex variable

Buser, Peter and Makover, Eran and Muetzel, Bjoern and Silhol, Robert, Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic,
Mathematische Zeitschrift, 297 (2021), 10.1007/s00209-020-02584-8.

Functional analysis

Ionescu, Marius and Kumjian, Alex and Renault, Jean N. and Sims, Aidan and Williams, Dana P., $C^*$-algebras of extensions of groupoids by group bundles,
Journal of Functional Analysis, 280 (2021), 10.1016/j.jfa.2020.108892.

Differential geometry

Baum, Paul F. and van Erp, Erik, The index theorem for Toeplitz operators as a corollary of Bott periodicity,
The Quarterly Journal of Mathematics, 72 (2021), 10.1093/qmath/haab008.

Kulkarni, Avinash and Lerario, Antonio, $p$-adic integral geometry,
SIAM Journal on Applied Algebra and Geometry, 5 (2021), 10.1137/19M1284737.

Manifolds and cell complexes

Allen, Samantha and Swenberg, Jacob H., Do link polynomials detect causality in globally hyperbolic spacetimes?,
Journal of Mathematical Physics, 62 (2021), 10.1063/5.0040956.

Global analysis, analysis on manifolds

Sutton, Craig, Spectral geometry in the presence of symmetry,
Notices of the American Mathematical Society, 68 (2021), 10.1090/noti.

Gordon, Carolyn and Herbrich, Peter and Webb, David, Steklov and Robin isospectral manifolds,
Journal of Spectral Theory, 11 (2021), 10.4171/jst/335.

Lin, Samuel and Schmidt, Benjamin and Sutton, Craig, Geometric structures and the Laplace spectrum, Part II,
Transactions of the American Mathematical Society, 374 (2021), 10.1090/tran/8417.

Probability theory and stochastic processes

Winkler, Peter, Biased coin puzzles,
The Mathematical Intelligencer, 43 (2021), 10.1007/s00283-021-10056-y.

Chandgotia, Nishant and Peled, Ron and Sheffield, Scott and Tassy, Martin, Delocalization of uniform graph homomorphisms from $\Bbb Z^2$ to $\Bbb Z$,
Communications in Mathematical Physics, 387 (2021), 10.1007/s00220-021-04181-0.

Statistics

Lee, Yoonsang, $l_p$ regularization for ensemble Kalman inversion,
SIAM Journal on Scientific Computing, 43 (2021), 10.1137/20M1365168.

Numerical analysis

Glaubitz, Jan, Stable high-order cubature formulas for experimental data,
Journal of Computational Physics, 447 (2021), 10.1016/j.jcp.2021.110693.

Glaubitz, Jan and Le Meledo, Elise and Öffner, Philipp, Towards stable radial basis function methods for linear advection problems,
Computers & Mathematics with Applications. An International Journal, 85 (2021), 10.1016/j.camwa.2021.01.012.

Glaubitz, Jan and Gelb, Anne, Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions,
Journal of Scientific Computing, 87 (2021), 10.1007/s10915-021-01453-8.

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

Guage, Cameron and Fu, Feng, Asymmetric partisan voter turnout games,
Dynamic Games and Applications, 11 (2021), 10.1007/s13235-021-00384-1.

Hu, Kevin and Fu, Feng, Evolutionary dynamics of gig economy labor strategies under technology, policy and market influence,
Games, 12 (2021), 10.3390/g12020049.

Biology and other natural sciences

Rodriguez Messan, Marisabel and Damaghi, Mehdi and Freischel, Audrey and Miao, Yan and Brown, Joel and Gillies, Robert and Wallace, Dorothy, Predicting the results of competition between two breast cancer lines grown in 3-D spheroid culture,
Mathematical Biosciences, 336 (2021), 10.1016/j.mbs.2021.108575.

DeStefano, Alisa and Martin, Clyde and Huang, Andrew and Wallace, Dorothy, Predicting long-term asbestos prevalence in human lungs, lymph nodes, and remote organs from short-term murine experiments,
Bulletin of Mathematical Biology. A Journal Devoted to Research at the Interface of the Life and Mathematical Sciences, 83 (2021), 10.1007/s11538-021-00882-8.

Information and communication theory, circuits

Schwarze, Alice and Porter, Mason A., Motifs for processes on networks,
SIAM Journal on Applied Dynamical Systems, 20 (2021), 10.1137/20M1361602.

2020, 40 publications:

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.

Bloom, Jonathan and Elizalde, Sergi and Roichman, Yuval, On cyclic Schur-positive sets of permutations,
Electronic Journal of Combinatorics, 27 (2020), 10.37236/8974.

Orellana, Rosa and Zabrocki, Mike, A combinatorial model for the decomposition of multivariate polynomial rings as $S_n$-modules,
Electronic Journal of Combinatorics, 27 (2020), 10.37236/8935.

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

Laishram, Shanta and López-Aguayo, Daniel and Pomerance, Carl and Thongjunthug, Thotsaphon, Progress towards a nonintegrality conjecture,
European Journal of Mathematics, 6 (2020), 10.1007/s40879-019-00353-4.

Chan, Tsz Ho and Lichtman, Jared Duker and Pomerance, Carl, A generalization of primitive sets and a conjecture of Erdős,
Discrete Analysis (2020), 10.19086/da.

Pollack, Paul and Pomerance, Carl, Phi, primorials, and Poisson,
Illinois Journal of Mathematics, 64 (2020), 10.1215/00192082-8591576.

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.

Sikirić, Mathieu Dutour and Haensch, Anna and Voight, John and van Woerden, Wessel P. J., A canonical form for positive definite matrices,
ANTS {XIV}---Proceedings of the Fourteenth Algorithmic Number Theory Symposium, 4 (2020), 10.2140/obs.2020.4.179.

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.

Functional analysis

Sims, Aidan and Szabó, Gábor and Williams, Dana, Operator algebras and dynamics: groupoids, crossed products, and Rokhlin dimension,
Advanced Courses in Mathematics. CRM Barcelona ([2020] © 2020), 10.1007/978-3-030-39713-5.

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 and Livingston, Charles, Unknotting with a single twist,
L'Enseignement Mathématique, 66 (2020), 10.4171/lem/66-3/4-10.

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.

Computer science

Scarnati, T. and Gelb, Anne, Accurate and efficient image reconstruction from multiple measurements of Fourier samples,
Journal of Computational Mathematics, 38 (2020), 10.4208/jcm.2002-m2019-0192.

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.

Krieger, Andrew and Menz, Georg and Tassy, Martin, Deducing a variational principle with minimal $\textit{a priori}$ assumptions,
Electronic Journal of Combinatorics, 27 (2020), 10.37236/9121.

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.

Wallace, D. I., Competition between two tufted C4 grasses: a mathematical model,
Trends in biomathematics: modeling cells, flows, epidemics, and the environment ([2020] © 2020), 10.1007/978-3-030-46306-9\_11.

Glaubitz, Alina and Fu, Feng, Oscillatory dynamics in the dilemma of social distancing,
Proceedings A, 476 (2020), 10.1098/rspa.2020.0686.

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.