Aaron Bertram

1.8k total citations
25 papers, 686 citations indexed

About

Aaron Bertram is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Aaron Bertram has authored 25 papers receiving a total of 686 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Geometry and Topology, 16 papers in Mathematical Physics and 5 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Aaron Bertram's work include Algebraic Geometry and Number Theory (18 papers), Advanced Algebra and Geometry (13 papers) and Algebraic structures and combinatorial models (6 papers). Aaron Bertram is often cited by papers focused on Algebraic Geometry and Number Theory (18 papers), Advanced Algebra and Geometry (13 papers) and Algebraic structures and combinatorial models (6 papers). Aaron Bertram collaborates with scholars based in United States, South Korea and Germany. Aaron Bertram's co-authors include Daniele Arcara, Ionuţ Ciocan-Fontanine, Lawrence Ein, Robert Lazarsfeld, Bumsig Kim, Georgios Daskalopoulos, Richard Wentworth, William Fulton, İzzet Coşkun and András Szenes and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Aaron Bertram

24 papers receiving 597 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Aaron Bertram United States	15	647	375	171	161	99	25	686
V. B. Mehta India	12	772 1.2×	561 1.5×	190 1.1×	105 0.7×	77 0.8×	36	821
Vladimir L. Popov Russia	13	423 0.7×	395 1.1×	159 0.9×	96 0.6×	33 0.3×	62	522
A. Ramanathan India	15	1.1k 1.6×	898 2.4×	175 1.0×	205 1.3×	63 0.6×	21	1.1k
Geir Ellingsrud Norway	14	510 0.8×	301 0.8×	167 1.0×	66 0.4×	100 1.0×	21	545
Barbara Fantechi Italy	10	451 0.7×	318 0.8×	96 0.6×	55 0.3×	54 0.5×	21	483
Victor V. Batyrev Germany	14	798 1.2×	365 1.0×	207 1.2×	227 1.4×	109 1.1×	28	850
Manfred Lehn Germany	10	1.1k 1.7×	849 2.3×	135 0.8×	54 0.3×	79 0.8×	17	1.2k
Eckart Viehweg Germany	17	1.1k 1.7×	662 1.8×	241 1.4×	158 1.0×	140 1.4×	45	1.2k
Duco van Straten Germany	14	354 0.5×	212 0.6×	139 0.8×	69 0.4×	59 0.6×	45	490
Jacob P. Murre Netherlands	14	656 1.0×	454 1.2×	155 0.9×	78 0.5×	126 1.3×	33	689

Countries citing papers authored by Aaron Bertram

Since Specialization

Citations

This map shows the geographic impact of Aaron Bertram's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Aaron Bertram with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Aaron Bertram more than expected).

Fields of papers citing papers by Aaron Bertram

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Aaron Bertram. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Aaron Bertram. The network helps show where Aaron Bertram may publish in the future.

Co-authorship network of co-authors of Aaron Bertram

This figure shows the co-authorship network connecting the top 25 collaborators of Aaron Bertram. A scholar is included among the top collaborators of Aaron Bertram based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Aaron Bertram. Aaron Bertram is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Bertram, Aaron, et al.. (2023). Le Potier’s strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces. Selecta Mathematica. 29(5).

Bertram, Aaron & Robert W. Easton. (2016). The tropical Nullstellensatz for congruences. Advances in Mathematics. 308. 36–82. 6 indexed citations

Hacon, Christopher D., Thomas Bauer, Aaron Bertram, et al.. (2015). Recent Advances in Algebraic Geometry. Cambridge University Press eBooks. 14 indexed citations

Bayer, Arend, Aaron Bertram, Emanuele Macrì, & Yukinobu Toda. (2014). Bridgeland stability conditions on threefolds II: An application to Fujita’s conjecture. Journal of Algebraic Geometry. 23(4). 693–710. 6 indexed citations

Arcara, Daniele, et al.. (2013). The minimal model program for the Hilbert scheme of points onP2and Bridgeland stability. Advances in Mathematics. 235. 580–626. 45 indexed citations

Arcara, Daniele & Aaron Bertram. (2012). Bridgeland-stable moduli spaces for $K$-trivial surfaces. Journal of the European Mathematical Society. 15(1). 1–38. 65 indexed citations

Bertram, Aaron, et al.. (2008). Evaluating tautological classes using only Hurwitz numbers. Transactions of the American Mathematical Society. 360(11). 6103–6111. 6 indexed citations

Bertram, Aaron, Ionuţ Ciocan-Fontanine, & Bumsig Kim. (2007). Gromov-Witten invariants for abelian and nonabelian quotients. Journal of Algebraic Geometry. 17(2). 275–294. 27 indexed citations

Bertram, Aaron, Ionuţ Ciocan-Fontanine, & Bumsig Kim. (2005). Two proofs of a conjecture of Hori and Vafa. Duke Mathematical Journal. 126(1). 43 indexed citations

10.

Bertram, Aaron, et al.. (2004). New recursions for genus-zero Gromov–Witten invariants. Topology. 44(1). 1–24. 12 indexed citations

11.

Bertram, Aaron & Michael Thaddeus. (2001). On the quantum cohomology of a symmetric product of an algebraic curve. Duke Mathematical Journal. 108(2). 10 indexed citations

12.

Bertram, Aaron, Ionuţ Ciocan-Fontanine, & William Fulton. (1999). Quantum Multiplication of Schur Polynomials. Journal of Algebra. 219(2). 728–746. 51 indexed citations

13.

Bertram, Aaron. (1997). Quantum Schubert Calculus. Advances in Mathematics. 128(2). 289–305. 102 indexed citations

14.

Bertram, Aaron, Georgios Daskalopoulos, & Richard Wentworth. (1996). Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians. Journal of the American Mathematical Society. 9(2). 529–571. 63 indexed citations

15.

Bertram, Aaron. (1994). TOWARDS A SCHUBERT CALCULUS FOR MAPS FROM A RIEMANN SURFACE TO A GRASSMANNIAN. International Journal of Mathematics. 5(6). 811–825. 25 indexed citations

16.

Bertram, Aaron. (1993). Generalized SU(2) theta functions. Inventiones mathematicae. 113(1). 351–372. 18 indexed citations

17.

Bertram, Aaron & András Szenes. (1993). Hilbert polynomials of moduli spaces of rank 2. vector bundles II. Topology. 32(3). 599–609. 22 indexed citations

18.

Bertram, Aaron. (1992). Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space. Journal of Differential Geometry. 35(2). 40 indexed citations

19.

Bertram, Aaron, Lawrence Ein, & Robert Lazarsfeld. (1991). Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties. Journal of the American Mathematical Society. 4(3). 587–587. 30 indexed citations

20.

Bertram, Aaron. (1987). An existence theorem for Prym special divisors. Inventiones mathematicae. 90(3). 669–671. 8 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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