MILANOV Todor ＭＩＬＡＮＯＶＴｏｄｏｒ

Researcher Number	80596841
Affiliation (Current)	2025: 東京大学, カブリ数物連携宇宙研究機構, 教授
Affiliation (based on the past Project Information) *help	2023: 東京大学, カブリ数物連携宇宙研究機構, 准教授 2021 – 2022: 東京大学, カブリ数物連携宇宙研究機構, 教授 2014 – 2020: 東京大学, カブリ数物連携宇宙研究機構, 准教授 2012 – 2013: 東京大学, カブリ数物連携宇宙研究機構, 特任助教 2011: 東京大学, 数物連携宇宙研究機構, 特任助教
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related / Basic Section 11010:Algebra-related
Keywords	Principal Investigator Gromov-Witten invariants / quantum cohomology / vertex operators / Frobenius manifolds / Frobenius structures / period integrals / Eynard-Orantin recursion / vertex algebras / q-difference equations / quantum K-theory … More / Fock space / Gromov-Witten / K-theory / Frobenius Manifolds / integrable hierarchies / matrix models / FJRW invariants / matrix model / frobenius manifolds / Fuchsian singularities / mirror symmetry / Eynard―Orantin recursion / リー環論 / 頂点作用素 / エイナル-オランタン漸化式 / 頂点代数 / 平坦構造 / フロベニウス構造 / 周期積分 / エイナル－オランタン再帰関係式 Less

Integrability in Gromov--Witten theoryPrincipal Investigator
- Principal Investigator
  
  MILANOV Todor
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo
K-theoretic enumerative invariants and q-difference equationsPrincipal Investigator
- Principal Investigator
  
  MILANOV Todor
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo
Riemann-Hilbert problem for Gromov-Witten invariantsPrincipal Investigator
- Principal Investigator
  
  MILANOV Todor
- Project Period (FY)
  2017 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
W-constraints and the Eynard-Orantin topological recursionPrincipal Investigator
- Principal Investigator
  
  MILANOV Todor
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
W-constraints in Singularity TheoryPrincipal Investigator
- Principal Investigator
  
  MILANOV Todor
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Reflection vectors and quantum cohomology of blowups2024
- Author(s)
  Todor Milanov and Xiaokun Xia
- Journal Title
  
  SIGMA
  
  Volume: 20
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] Reflection vectors and quantum cohomology of blowups2024
- Author(s)
  Todor Milanov and Xiaokun Xia
- Journal Title
  
  SIGMA
  
  Volume: 20
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03265
[Journal Article] Confluence in quantum K-theory of weak Fano manifolds and q-oscillatory integrals for toric manifolds2022
- Author(s)
  Todor Milanov and Alexis Roquefeuil
- Journal Title
  
  Advances in Mathematics
  
  Volume: 409 B Pages: 1-57
- DOI
  10.1016/j.aim.2022.108682
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193, KAKENHI-PROJECT-22K03265
[Journal Article] The extended D-Toda hierarchy2021
- Author(s)
  Jipeng Cheng and Todor Milanov
- Journal Title
  
  Selecta Mathematica
  
  Volume: 27 Issue: 2
- DOI
  10.1007/s00029-021-00646-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] Matrix model for the total descendent potential of a simple singularity of type D2021
- Author(s)
  Alexander Alexandrov, Todor Milanov
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 111 Issue: 4
- DOI
  10.1007/s11005-021-01431-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] Gromov--Witten theory of quotients of Fermat Calabi-Yau varieties2021
- Author(s)
  Hiroshi Iritani, Todor Milanov, Yongbin Ruan, and Yefeng Shen
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 269 Issue: 1310 Pages: 1-92
- DOI
  10.1090/memo/1310
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193, KAKENHI-PROJECT-20K03582
[Journal Article] Singularity theory and mirror symmetry2021
- Author(s)
  Todor Milanov
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 763 Pages: 131-153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] Hirota quadratic equations for the Gromov--Witten invariants of P_{n-2,2,2}^12021
- Author(s)
  Jipeng Cheng, Todor Milanov
- Journal Title
  
  Advances in Mathematics
  
  Volume: 388 Pages: 107860-107860
- DOI
  10.1016/j.aim.2021.107860
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] Integral structure for simple singularities2020
- Author(s)
  Todor Milanov and Chenghan Zha
- Journal Title
  
  SIGMA
  
  Volume: 16
- DOI
  10.3842/sigma.2020.081
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05193, KAKENHI-PROJECT-20J20053
[Journal Article] The phase factors in singularity theory2019
- Author(s)
  Todor Milanov
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: - Pages: 295-326
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] The 2-component BKP Grassmannian and simple singularities of type D2019
- Author(s)
  Jipeng Cheng and Todor Milanov
- Journal Title
  
  International Mathematical Research Notices
  
  Volume: - Issue: 23 Pages: 17875-17923
- DOI
  10.1093/imrn/rnz325
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] The total ancestor potential in Singularity Theory2019
- Author(s)
  Todor Milanov
- Journal Title
  
  B-model Gromov-Witten theory, Trends in Mathematics
  
  Volume: - Pages: 539-571
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] The period map for quantum cohomology of P^22019
- Author(s)
  Todor Milanov
- Journal Title
  
  Advances in Mathematics
  
  Volume: 351 Pages: 804-869
- DOI
  10.1016/j.aim.2019.05.011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] K-theoretic Gromov?Witten invariants in genus 0 and integrable hierarchies2018
- Author(s)
  Milanov Todor、Tonita Valentin
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: なし Issue: 6 Pages: 1-29
- DOI
  10.1007/s11005-018-1075-y
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] Gromov-Witten theory and cycle-valued modular forms2018
- Author(s)
  Milanov Todor、Ruan Yongbin、Shen Yefeng
- Journal Title
  
  Journal fur die reine und angewandte Mathematik
  
  Volume: vol. 735(2018) Issue: 735 Pages: 287-315
- DOI
  10.1515/crelle-2015-0019
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Journal Article] Global mirror symmetry for invertible simple elliptic singularities2016
- Author(s)
  Todor Milanov and Yefeng Shen
- Journal Title
  
  Annales de l'institut Fourier
  
  Volume: 66 Issue: 1 Pages: 271-330
- DOI
  10.5802/aif.3012
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Journal Article] W-algebra constraints and topological recursion for AN-singularity2016
- Author(s)
  Todor Milanov and Danilo Lewanski
- Journal Title
  
  Internat. J. Math
  
  Volume: 27 Issue: 13 Pages: 1650110-1650110
- DOI
  10.1142/s0129167x1650110x
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Journal Article] Gromov-Witten theory of Fano orbifold curves, gamma integral structures and ADE-Toda hierarchies2016
- Author(s)
  Todor Milanov, H.-H. Tseng, and Y. Shen
- Journal Title
  
  Geome. Topol
  
  Volume: 20 Issue: 4 Pages: 2135-2218
- DOI
  10.2140/gt.2016.20.2135
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Journal Article] The Eynard-Orantin recursion for simple singularities2015
- Author(s)
  Todor Milanov
- Journal Title
  
  Communications in Number Theory and Physics
  
  Volume: vol. 9, No.4 Issue: 4 Pages: 707-739
- DOI
  10.4310/cntp.2015.v9.n4.a3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800003
[Journal Article] Reconstruction and Convergence in Quantum K-Theory via Difference Equations2015
- Author(s)
  H. Iritani, T. Milanov, and V. Tonita
- Journal Title
  
  InternationalMathematics Research Notices
  
  Volume: (印刷中) Issue: 11 Pages: 2887-2937
- DOI
  10.1093/imrn/rnu026
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23740005, KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-23224002, KAKENHI-PROJECT-25247005, KAKENHI-PROJECT-25400069
[Journal Article] Analyticity of the total ancestor potential in singularity theory2014
- Author(s)
  T. Milanov
- Journal Title
  
  Advances in Mathematics
  
  Volume: 255(1) Pages: 217-241
- DOI
  10.1016/j.aim.2014.01.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740005
[Journal Article] Reconstruction and convergence in quantum K-theory via difference equations2014
- Author(s)
  Hiroshi Iritani, Todor Milanov, Valentin Tonita
- Journal Title
  
  Int. Math. Res. Not.
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740005
[Journal Article] The modular group for the total ancestor potential of Fermat simple elliptic singularities.2014
- Author(s)
  T. Milanov and Y. Shen
- Journal Title
  
  Communications in Number Theory and Physics
  
  Volume: 8 Issue: 2 Pages: 329-368
- DOI
  10.4310/cntp.2014.v8.n2.a4
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26800003
[Journal Article] W-constraints for the total descendant potential of a simple singularity2013
- Author(s)
  B. Bakalov and T. Milanov
- Journal Title
  
  Compositio Maththematica
  
  Volume: 149 Issue: 5 Pages: 840-888
- DOI
  10.1112/s0010437x12000668
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740005
[Journal Article] W-constraints for the total descendant potential of a simple singularity2012
- Author(s)
  B. Bakalov and T. Milanov
- Journal Title
  
  Compositio Mathematica
  
  Volume: なし Pages: 1-49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Frobenius manifolds and mirror symmetry2023
- Author(s)
  Todor Milanov
- Organizer
  Algebraic Geometry Seminar, Tsinghua University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03265
[Presentation] Frobenius manifolds and mirror symmetry2023
- Author(s)
  Todor Milanov
- Organizer
  Algebraic Geometry seminar, Tsinghua University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Primitive forms and Frobenius manifolds2023
- Author(s)
  Todor Milanov
- Organizer
  Intense Lecture series, Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-22K03265
[Presentation] Reflection vectors and quantum cohomology of blowups2023
- Author(s)
  Todor Milanov
- Organizer
  Geometry and Physics seminar, IAS at Zhejiang University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03265
[Presentation] Frobenius manifolds and vertex operators2023
- Author(s)
  Todor Milanov
- Organizer
  Colloquium, Kyoto University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Frobenius manifolds and vertex operators2023
- Author(s)
  Todor Milanov
- Organizer
  Colloquium, Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-22K03265
[Presentation] Primitive forms and Frobenius manifolds2023
- Author(s)
  Todor Milanov
- Organizer
  Intense lecture series, Kyoto University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Reflection vectors and quantum cohomology of blowups2023
- Author(s)
  Todor Milanov
- Organizer
  Geometry and Physics seminar, IAS at Zhejiang University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Reflection vectors for semi-simple Frobenius manifolds2022
- Author(s)
  Todor Milanov
- Organizer
  IBS-CGP, 10th Anniversary Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03265
[Presentation] Reflection vectors for semi-simple Frobenius manifolds2022
- Author(s)
  Todor Milanov
- Organizer
  IBS-CGP, 10th Anniversary Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Fano orbifold lines of type D and integrable hierarchies2022
- Author(s)
  Todor Milanov
- Organizer
  Geometry and Physics seminar, Jiaotong University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03265
[Presentation] Fano orbifold lines of type D and integrable hierarchies2022
- Author(s)
  Todor Milanov
- Organizer
  Geometry and Physics seminar, Jiaotong University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Frobenius manifolds and vertex operators2022
- Author(s)
  Todor Milanov
- Organizer
  ZOOM lectures at Chinese University of Mining and Technology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03265
[Presentation] Frobenius manifolds and vertex operators2022
- Author(s)
  Todor Milanov
- Organizer
  ZOOM lectures at Chinese University of Mining and Technology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Integrability in quantum field theory2021
- Author(s)
  Todor Milanov
- Organizer
  Kavli IPMU Colloquium
- Invited
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Confluence for the K-theoretic J-function2021
- Author(s)
  Todor Milanov
- Organizer
  Riken iTHEMS Math Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19F19802
[Presentation] Topological recursion for simple singularities2021
- Author(s)
  Todor Milanov
- Organizer
  IBS, Pohang, CGP seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Confluence for the K-theoretic J-function2021
- Author(s)
  Todor Milanov
- Organizer
  Riken iTHEMS seminar
- Invited
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Towards Hirota Bilinear Equations in Gromov-Witten theory2020
- Author(s)
  Todor Milanov
- Organizer
  ZOOM lectures at Fudan University
- Invited
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Primitive forms and Frobenius structures on the Hurwiotz spaces2019
- Author(s)
  Todor Milanov
- Organizer
  Mirror symmetry and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Gromov--Witten invariants of Fano orbifold lines of type D and integrable hierarchies2019
- Author(s)
  Todor Milanov
- Organizer
  2nd IBS-CGP workshop on integrable systems and applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Fano orbifold lines of type D and integrable hierarchies2019
- Author(s)
  Todor Milanov
- Organizer
  3d mirror symmetry and integrable hierarchies
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Lectures on singularity theory and mirror symmetry2018
- Author(s)
  Todor Milanov
- Organizer
  Current Developments in Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] The Landau-Ginzburg B-model2018
- Author(s)
  Todor Milanov
- Organizer
  Crossing the walls in enumerative geometry 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Primitive forms and Frobenius structures on the Hurwitz spaces2017
- Author(s)
  Todor Milanov
- Organizer
  Hodge theory, Stokes phenomenon and applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Primitive forms and Frobenius structures on the Hurwitz spaces Conference: Geometry, Analysis, and Mathematical Physics2017
- Author(s)
  Todor Milanov
- Organizer
  Geometry, Analysis, and Mathematical Physics
- Place of Presentation
  Kyoto University, Kyoto
- Year and Date
  2017-02-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] The period map for quantum cohomology of P^22017
- Author(s)
  Todor Milanov
- Organizer
  FJV 2017 Symposium
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] The period map for quantum cohomology of P^22017
- Author(s)
  Todor Milanov
- Organizer
  Mathematics day in Sofia 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05193
[Presentation] Hurwitz Frobenius manifolds and K. Saito's primitive forms2016
- Author(s)
  Todor Milanov
- Organizer
  Interactions between topological recursion, modularity, quantum invariants, and low-dimensional topology
- Place of Presentation
  Melbourne University, Creswick Campus, Victoria, Australia
- Year and Date
  2016-12-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] The Riemann--Hilbert problem for Givental's total descendant potential2016
- Author(s)
  Todor Milanov
- Organizer
  Seminar on Dynamical Systems and Number Theory
- Place of Presentation
  Sofia University, Sofia, Bulgaria
- Year and Date
  2016-02-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] K-theoretic Gromov--Witten invariants in genus 0 and integrable hierarchies Conference: Categorical and Analytic invariants in Algebraic Geometry IV2016
- Author(s)
  Todor Milanov
- Organizer
  Categorical and Analytic invariants in Algebraic Geometry IV
- Place of Presentation
  Kavli IPMU, Chiba, Kashiwa
- Year and Date
  2016-11-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Vertex Algebras and the topological recursion for A_N singularity2016
- Author(s)
  Todor Milanov
- Organizer
  Topological Recursion and TQFTs
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany
- Year and Date
  2016-02-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Fano orbifold lines and Integrable hierarchies2016
- Author(s)
  Todor Milanov
- Organizer
  Seminar at University of Amsterdam
- Place of Presentation
  University of Amsterdam, Amsterdam, Netherlands
- Year and Date
  2016-02-23
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Eynard--Orantin recursion for simple singularities of type A2016
- Author(s)
  Todor Milanov
- Organizer
  Geometric and algebraic aspects of integrability
- Place of Presentation
  Durham University, Durham, UK
- Year and Date
  2016-07-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Vertex algebras and Gromov--Witten invariants2015
- Author(s)
  Todor Milanov
- Organizer
  Categorical and Analytic invariants in Algebraic Geometry Ⅰ
- Place of Presentation
  Steklov Institute, Moscow, Russia
- Year and Date
  2015-09-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Lectures on Topological Recursion in Singularity Theory2015
- Author(s)
  Todor Milanov
- Organizer
  Quantization of Spectral Curves
- Place of Presentation
  Osaka City University Advanced Mathematical Institute, Osaka, Japan
- Year and Date
  2015-11-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Vertex algebras in singularity and Gromov--Witten theory2015
- Author(s)
  Todor Milanov
- Organizer
  Mirror Symmetry, Hodge Theory and Differential Equations
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany
- Year and Date
  2015-04-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] The Eynard--Orantin recursion for simple singularities2015
- Author(s)
  Todor Milanov
- Organizer
  Geometric Invariants and Spectral Curves
- Place of Presentation
  Lorentz Center, Leiden, Netherlands
- Year and Date
  2015-05-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Mirror symmetry and the global ancestor potential2014
- Author(s)
  Todor Milanov
- Organizer
  Primitive forms, mirror symmetry, and related topics 2014
- Place of Presentation
  Kyoto University
- Year and Date
  2014-12-24
- Invited
- Data Source
  KAKENHI-PROJECT-26800003
[Presentation] Analyticity of the total ancestor potential in singularity theory2014
- Author(s)
  Todor Milanov
- Organizer
  B-model aspects of Gromov-Witten theory
- Place of Presentation
  University of Michigan, Ann Arbor, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Hirota quadratic equations in singularity theory2014
- Author(s)
  Todor Milanov
- Organizer
  Infinite analysis and integrable systems - JMS meeting
- Place of Presentation
  Gakushuin University, Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Gromov-Witten theory of Fano orbifold curves and ADE-Toda hierarchies2014
- Author(s)
  Todor Milanov
- Organizer
  Pedagogical workshop on B-model
- Place of Presentation
  University of Michigan, Ann Arbor, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] The phase form in singularity theory2014
- Author(s)
  Todor Milanov
- Organizer
  Primitive forms and related subjects
- Place of Presentation
  Kavli IPMU, Kashiwa, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Analiticity of the total ancestor potential in singularity theory2014
- Author(s)
  Todor Milanov
- Organizer
  Workshop on "B-model aspects of Gromov.Wittentheory"
- Place of Presentation
  アメリカ・ミシガン州アナーバー(University of Michigan)
- Year and Date
  2014-03-06
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] The Eynard-Orantin recursion in singularity theory2013
- Author(s)
  Todor Milanov
- Organizer
  Session on "Symplectic geometry and mathematical physics" of thesymposium PRIMA 2013
- Place of Presentation
  中国・上海
- Year and Date
  2013-06-24
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] The Eynard-Orantin Recursion in Singularity Theory2013
- Author(s)
  Todor Milanov
- Organizer
  Symplectic geometry and mathematical physics, PRIMA 2013
- Place of Presentation
  Shanghai, China
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] W-constraints for simple singularities2012
- Author(s)
  Todor Milanov
- Organizer
  Integrable systems in Gromov-Witten and symplectic field theory(招待講演)
- Place of Presentation
  Palo Alto, US
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Integrable hierarchies for hypersurface singularities2012
- Author(s)
  Todor Milanov
- Organizer
  Conference on "Singularities of differential equations in algebraic geometry."
- Place of Presentation
  フランス・リュミニー
- Year and Date
  2012-06-04
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Orbifold projective lines and integrable hierarchies2012
- Author(s)
  Todor Milanov
- Organizer
  Singularity theory and integrable systems
- Place of Presentation
  The Mathematisches Forschungsinstitut Oberwolfach （ドイツ・オーバーヴォルファッハ）
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Period integrals and twisted representations of vertex algebras2012
- Author(s)
  Todor Milanov
- Organizer
  Conference on "Integrability in topological fieldtheory"
- Place of Presentation
  ドイツ・ボン
- Year and Date
  2012-04-16
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Landau-Ginzburg/Calabi-Yau correspondence for simple elliptic singularities2011
- Author(s)
  Todor Milanov
- Organizer
  Symplectic geometry and related topics(招待講演)
- Place of Presentation
  Chengdu, China
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Gromov-Witten theory of orbifold projective lines and integrable hierarchies2011
- Author(s)
  Todor Milanov
- Organizer
  Algebraic geometry simposium(招待講演)
- Place of Presentation
  Kinosaki, Japan
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Gromov-Witten theory of orbifold projective lines and integrable hierarchies2011
- Author(s)
  Todor Milanov
- Organizer
  Geometrical methods in mathematical physics(招待講演)
- Place of Presentation
  Moscow, Russia
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] W-constraints for Frobenius manifolds2011
- Author(s)
  Todor Milanov
- Organizer
  National conference on integrable systems(招待講演)
- Place of Presentation
  Wuhan, China
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Integrable hierarchies for hypersurface singularities
- Author(s)
  Todor Milanov
- Organizer
  Singularities of differential equations in algebraic geometry
- Place of Presentation
  C.I.R.M.（フランス・リュミニ）
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Period integrals and twisted representations of vertex algebras
- Author(s)
  Todor Milanov
- Organizer
  Integrability in topological field theory
- Place of Presentation
  HIM（ドイツ・ボン）
- Invited
- Data Source
  KAKENHI-PROJECT-23740005
[Presentation] Higher-genus reconstruction in Gromov-Witten theory
- Author(s)
  Todor Milanov
- Organizer
  Hong Kong Geometry Colloquium
- Place of Presentation
  The Hong Kong University of Science and Technology（中国・香港）
- Invited
- Data Source
  KAKENHI-PROJECT-23740005

1. ROQUEFEUIL ALEXIS

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MILANOV Todor ＭＩＬＡＮＯＶ Ｔｏｄｏｒ

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Integrability in Gromov--Witten theoryPrincipal Investigator

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K-theoretic enumerative invariants and q-difference equationsPrincipal Investigator

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Riemann-Hilbert problem for Gromov-Witten invariantsPrincipal Investigator

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W-constraints and the Eynard-Orantin topological recursionPrincipal Investigator

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W-constraints in Singularity TheoryPrincipal Investigator

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[Journal Article] Reflection vectors and quantum cohomology of blowups2024

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[Journal Article] Reflection vectors and quantum cohomology of blowups2024

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[Journal Article] Confluence in quantum K-theory of weak Fano manifolds and q-oscillatory integrals for toric manifolds2022

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[Journal Article] The extended D-Toda hierarchy2021

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[Journal Article] Matrix model for the total descendent potential of a simple singularity of type D2021

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[Journal Article] Gromov--Witten theory of quotients of Fermat Calabi-Yau varieties2021

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[Journal Article] Singularity theory and mirror symmetry2021

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[Journal Article] Hirota quadratic equations for the Gromov--Witten invariants of P_{n-2,2,2}^12021

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[Journal Article] Integral structure for simple singularities2020

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[Journal Article] The phase factors in singularity theory2019

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MILANOV Todor ＭＩＬＡＮＯＶＴｏｄｏｒ