Todor Milanov

434 total citations
23 papers, 152 citations indexed

About

Todor Milanov is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Todor Milanov has authored 23 papers receiving a total of 152 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Geometry and Topology, 12 papers in Mathematical Physics and 12 papers in Statistical and Nonlinear Physics. Recurrent topics in Todor Milanov's work include Algebraic Geometry and Number Theory (14 papers), Algebraic structures and combinatorial models (13 papers) and Nonlinear Waves and Solitons (12 papers). Todor Milanov is often cited by papers focused on Algebraic Geometry and Number Theory (14 papers), Algebraic structures and combinatorial models (13 papers) and Nonlinear Waves and Solitons (12 papers). Todor Milanov collaborates with scholars based in Japan, United States and China. Todor Milanov's co-authors include Hsian‐Hua Tseng, Alexander Givental, Edward Frenkel, Jipeng Cheng, Hiroshi Iritani, Yongbin Ruan and Emil Horozov and has published in prestigious journals such as Advances in Mathematics, Duke Mathematical Journal and Memoirs of the American Mathematical Society.

In The Last Decade

Todor Milanov

21 papers receiving 138 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Todor Milanov Japan	7	139	93	69	30	20	23	152
A Chiodo France	7	174 1.3×	62 0.7×	122 1.8×	18 0.6×	17 0.8×	10	186
Masa-Hiko Saito Japan	10	184 1.3×	68 0.7×	125 1.8×	20 0.7×	10 0.5×	27	220
Valerio Toledano-Laredo United States	9	196 1.4×	121 1.3×	94 1.4×	115 3.8×	32 1.6×	17	224
Yu Qiu China	6	123 0.9×	56 0.6×	54 0.8×	72 2.4×	17 0.8×	22	128
Vassily Gorbounov United States	7	139 1.0×	72 0.8×	74 1.1×	64 2.1×	16 0.8×	21	155
I. G. Korepanov Russia	7	106 0.8×	75 0.8×	21 0.3×	55 1.8×	17 0.8×	36	145
D. Arinkin United States	7	121 0.9×	51 0.5×	109 1.6×	26 0.9×	12 0.6×	12	152
Sergey Mozgovoy Ireland	6	109 0.8×	42 0.5×	58 0.8×	26 0.9×	21 1.1×	15	124
Peter Tingley United States	9	173 1.2×	70 0.8×	73 1.1×	86 2.9×	66 3.3×	26	182
Leonid Rybnikov Russia	7	154 1.1×	76 0.8×	87 1.3×	95 3.2×	15 0.8×	21	174

Countries citing papers authored by Todor Milanov

Since Specialization

Citations

This map shows the geographic impact of Todor Milanov'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 Todor Milanov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Todor Milanov more than expected).

Fields of papers citing papers by Todor Milanov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Todor Milanov. 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 Todor Milanov. The network helps show where Todor Milanov may publish in the future.

Co-authorship network of co-authors of Todor Milanov

This figure shows the co-authorship network connecting the top 25 collaborators of Todor Milanov. A scholar is included among the top collaborators of Todor Milanov 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 Todor Milanov. Todor Milanov 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

Milanov, Todor, et al.. (2022). Confluence in quantum K-theory of weak Fano manifolds and q-oscillatory integrals for toric manifolds. Advances in Mathematics. 409. 108682–108682. 1 indexed citations

Cheng, Jipeng & Todor Milanov. (2021). The extended D-Toda hierarchy. Selecta Mathematica. 27(2). 4 indexed citations

Cheng, Jipeng & Todor Milanov. (2021). Hirota Quadratic Equations for the Gromov–Witten invariants of Pn−2,2,21. Advances in Mathematics. 388. 107860–107860. 4 indexed citations

Milanov, Todor, et al.. (2020). Integral Structure for Simple Singularities. Symmetry Integrability and Geometry Methods and Applications.

Cheng, Jipeng & Todor Milanov. (2019). The 2-Component BKP Grassmannian and Simple Singularities of Type D. International Mathematics Research Notices. 2021(23). 17875–17923. 4 indexed citations

Milanov, Todor. (2019). The period map for quantum cohomology of P2. Advances in Mathematics. 351. 804–869. 3 indexed citations

Milanov, Todor, et al.. (2016). 𝒲-Algebra constraints and topological recursion for AN-singularity (with an Appendix by Danilo Lewanski). International Journal of Mathematics. 27(13). 1650110–1650110. 6 indexed citations

Milanov, Todor, et al.. (2016). Gromov–Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda hierarchies. Geometry & Topology. 20(4). 2135–2218. 10 indexed citations

Milanov, Todor, et al.. (2016). Global mirror symmetry for invertible simple elliptic singularities. Annales de l’institut Fourier. 66(1). 271–330. 9 indexed citations

10.

Milanov, Todor, et al.. (2015). Gromov–Witten theory and cycle-valued modular forms. Journal für die reine und angewandte Mathematik (Crelles Journal). 2018(735). 287–315. 5 indexed citations

11.

Milanov, Todor, et al.. (2014). Gromov--Witten theory of Fano orbifold curves and ADE-Toda Hierarchies. arXiv (Cornell University). 2 indexed citations

12.

Milanov, Todor, et al.. (2014). The modular group for the total ancestor potential of Fermat simple elliptic singularities. 8(2). 329–368. 2 indexed citations

13.

Iritani, Hiroshi, et al.. (2014). Reconstruction and Convergence in Quantum K-Theory via Difference Equations. International Mathematics Research Notices. 2015(11). 2887–2937. 14 indexed citations

14.

Milanov, Todor. (2014). The Eynard–Orantin recursion for the total ancestor potential. Duke Mathematical Journal. 163(9). 6 indexed citations

15.

Milanov, Todor & Hsian‐Hua Tseng. (2010). Equivariant orbifold structures on the projective line and integrable hierarchies. Advances in Mathematics. 226(1). 641–672. 8 indexed citations

16.

Milanov, Todor & Hsian‐Hua Tseng. (2008). The spaces of Laurent polynomials, Gromov-Witten theory of ℙ1-orbifolds and integrable hierarchies. Journal für die reine und angewandte Mathematik (Crelles Journal). 2008(622). 19 indexed citations

17.

Milanov, Todor. (2007). Hirota quadratic equations for the extended Toda hierarchy. Duke Mathematical Journal. 138(1). 29 indexed citations

18.

Milanov, Todor. (2005). Gromov-Witten invariants of CP^1 and integrable hierarchies. arXiv (Cornell University). 1 indexed citations

19.

Horozov, Emil & Todor Milanov. (2002). Fuchsian bispectral operators. Bulletin des Sciences Mathématiques. 126(3). 161–192. 1 indexed citations

20.

Milanov, Todor. (1988). Frysförluster av vatten. KTH Publication Database DiVA (KTH Royal Institute of Technology). 1 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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