My research interests lie in the area of Geometric Analysis. In particular, I am interested in the theory of Ricci solitons which are natural generalizations of Einstein manifolds.

at **Santiago de Compostela** (Garcia, Spain, September 2017)

**Peer Reviewed Research Papers and Accepted Papers**

[1] H. Tadano, Gap Theorems for Compact Gradient Sasaki-Ricci Solitons, International Journal of Mathematics **26** (2015), 1540009, 17 pages.

[2] H. Tadano, A Lower Diameter Bound for Compact Domain Manifolds of Shrinking Ricci-Harmonic Solitons, Kodai Mathematical Journal **38** (2015), 302–309.

[3] H. Tadano, Some Myers Type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, Rendiconti del Seminario Matematico Università e Politecnico Torino **73** (2015), 183–199.

[4] H. Tadano, Gap Theorems for Ricci-Harmonic Solitons, Annals of Global Analysis and Geometry **49** (2016), 165–175.

[5] H. Tadano, Remark on a Diameter Bound for Complete Riemannian Manifolds with Positive Bakry-Émery Ricci Curvature, Differential Geometry and its Applications **44** (2016), 136–143.

[6] H. Tadano, Remark on Harnack Inequalities for the Porous Medium Equation on Riemannian Manifolds, Rendiconti del Seminario Matematico Università e Politecnico Torino **74** (2016), 309–328.

[7] H. Tadano, An Upper Diameter Bound for Compact Ricci Solitons with Application to the Hitchin-Thorpe Inequality, Journal of Mathematical Physics **58** (2017), 023503, 8 pages.

**New!!** [8] H. Tadano, Some Ambrose- and Galloway-Type Theorems via Bakry-Émery and Modified Ricci Curvatures, Pacific J. Math. **294** (2018), 213–231.

**New!!** [9] H. Tadano, An Upper Diameter Bound for Compact Ricci Solitons with Application to the Hitchin-Thorpe Inequality. II, Journal of Mathematical Physics **59** (2018), 043507, 3 pages.

**Preprints**

[1] H. Tadano, Diameter Bounds, Gap Theorems, and Hitchin-Thorpe Inequalities for Compact Quasi-Einstein Manifolds, 2015.

[2] H. Tadano, Remark on a Lower Diameter Bound for Compact Shrinking Ricci Solitons, 2016.

[3] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems via m-Bakry-Émery and m-Modified Ricci Curvatures, 2016.

[4] H. Tadano, Some Compactness Theorems via m-Bakry-Émery and m-Modified Ricci Curvatures with Negative m, 2016.

[5] H. Tadano, Some Myers Type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, II, 2017.

[6] H. Tadano, Geometry of Gradient Sasaki-Ricci Solitons, Preprint, 2018.

[7] H. Tadano, Some Cheeger-Gromov-Taylor Type Theorems for Finsler Manifolds, Preprint, 2018.

**Invited Talks (International)**

[1] H. Tadano, Some Myers Type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, Seminar on Differential Geometry, Academia Sinica (Taiwan), April 18, 2016.

[2] H. Tadano, Some Myers type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, Geometry Seminar at University of Santiago de Compostela (Spain), June 2, 2016.

[3] H. Tadano, Some Myers Type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, Geometric Analysis on Riemannian and Metric Spaces, Kyoto University (Japan), September 6, 2016.

[4] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems for Ricci Solitons, Seminar on Differential Geometry, Academia Sinica (Taiwan), December 1, 2016.

[5] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems for Ricci Solitons, Geometry Seminar at Chonnam National University (South Korea), April 25, 2017.

[6] H. Tadano, Some Myers Type Theorems for Ricci Solitons, On Geometry and Several Complex Variables, Academia Sinica (Taiwan), July 3, 2017.

**Contributed Talk (International)**

[1] H. Tadano, Gap Theorems for Compact Gradient Sasaki-Ricci Solitons, Complex Geometry and Lie Groups, Torino University (Italy), June 19, 2014.

[2] H. Tadano, Gap Theorems for Compact Gradient Sasaki-Ricci Solitons, Geometry Seminar at University of Santiago de Compostela (Spain), June 26, 2014.

[3] H. Tadano, Geometry of Gradient Sasaki-Ricci Solitons, The 20th Symposium on Complex Geometry, Sugadaira Plateau (Japan), November 6, 2014.

[4] H. Tadano, Geometry of Gradient Sasaki-Ricci Solitons, Geometry Seminar at University of New Mexico (United States), November 19, 2014.

[5] H. Tadano, Diameter Bounds for Compact Quasi-Einstein Manifolds, Geometry Seminar at University of Santiago de Compostela (Spain), January 22, 2015.

[6] H. Tadano, Gradient Estimates for Porous Medium and Fast Diffusion Equations under the Ricci Flow, Workshop in Memory of Sergio Console, Torino University (Italy), February 24, 2015.

[7] H. Tadano, An Upper Diameter Bound for Compact Ricci Solitons with Application to the Hitchin-Thorpe Inequality, Geometry Seminar at University of Santiago de Compostela (Spain), March 12, 2015.

[8] H. Tadano, Ricci Solitons and Sasakian Geometry, Workshop on Almost Hermitian and Contact Geometry, Bedlewo near Poznan (Poland), October 23, 2015.

[9] H. Tadano, Some Myers Type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, A Differential Geometry Day in Memory of Our Colleague and Friend Sergio Console, Torino University (Italy), May 13, 2016.

[10] H. Tadano, Some Myers Type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, Differential Geometry and its Applications, Masaryk University (Czech Republic), July 11, 2016.

[11] H. Tadano, Cheeger-Gromov-Taylor Type Compactness Theorems via Modified Ricci Curvature, Geometry Seminar at University of Santiago de Compostela (Spain), July 27, 2016.

[12] H. Tadano, Some Myers Type Theorems and Hitchin-Thorpe Inequalities for Shrinking Ricci Solitons, Geometry Seminar at University of Buckingham (UK), January 30, 2017.

[13] H. Tadano, Diameter bounds, Gap Theorems and Hitchin-Thorpe Inequalities for Compact Quasi-Einstein Manifolds, Geometry Seminar at University of Buckingham (UK), January 31, 2017.

[14] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems for Shrinking Ricci Solitons, Differential Geometry Days, Torino University (Italy), April 5, 2017.

[15] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems for Ricci Solitons, XIXth International Conference Geometry Integrability and Quantization, Koral Hotel (Bulgaria), June 6, 2017.

[16] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems for Ricci Solitons, Differential Geometry, Bedlewo near Poznan (Poland), June 22, 2017.

[17] H. Tadano, Some Compactness Theorems via m-Bakry-Émery and m-Modified Ricci Curvatures with Negative m, Geometry Seminar at University of Santiago de Compostela (Spain), September 26, 2017.

[18] H. Tadano, Some Results on the Hitchin-Thorpe Inequality for Compact Ricci Solitons, Geometry Seminar at University of Buckingham (UK), September 29, 2017.

[19] H. Tadano, Myers-Type Theorems, Diameter Bounds, and Gap Theorems for Sasaki Manifolds, Constant Scalar Curvature Metrics in Kähler and Sasaki Geometry, Centre International de Rencontres Mathematiques (France), January 18, 2018.

[20] H. Tadano, Myers-Type Theorems, Diameter Bounds, and Gap Theorems for Sasaki Manifolds, Informal Geometry Workshop in “Paradiso”, Cogne (Italy), January 24, 2018.

[21] H. Tadano, Some Cheeger-Gromov-Taylor Type Theorems for Ricci Solitons, Workshop on Geometric Evolution Equations, Universität Regensburg (Germany), March 5, 2018.

[22] H. Tadano, Some Myers-Type Theorems for Ricci Solitons, International Workshop “Geometry of Submanifolds and Integrable Systems”, Osaka City University (Japan), March 26, 2018.

[23] H. Tadano, Some Cheeger-Gromov-Taylor Type Theorems for Finsler Manifolds, New Methods in Finsler Geometry, Centro di Ricerca Matematica Ennio De Giorgi (Italy), May 22, 2018.

[24] H. Tadano, Geometry of Gradient Sasaki-Ricci Solitons, The 5th Workshop “Complex Geometry and Lie Groups”, University of Florence (Italy), June 12, 2018.

[25] H. Tadano, Some Myers Theorems for Transverse Ricci Solitons on K-Contact Manifolds, Glances@Manifolds 2018, Jagiellonian University (Poland), July 3, 2018.

[26] H. Tadano, TBA, Short Communications in ICM 2018, Rio de Janeiro (Brazil), August 1-9, 2018.

[27] H. Tadano, TBA, The 24th Symposium on Complex Geometry, Shiinoki Cultural Complex (Japan), November 13-16, 2018.

**C****ontributed Poster (Internationa****l)**

[1] H. Tadano, An Upper Diameter Bound for Compact Ricci Solitons with Applications to the Hitchin-Thorpe Inequality, Geometric Structures on Riemannian Manifolds, University of Bari Aldo Moro (Italy), June 26, 2015.

[2] H. Tadano, Diameter Bounds, Gap Theorems and Hitchin-Thorpe Inequalities for Compact Quasi-Einstein Manifolds, Differential Geometry and its Applications, Masaryk University (Czech Republic), July 14, 2016.

[3] H. Tadano, Some Myers Type Theorems for Complete Ricci Solitons, The 18th UK–Japan Winter School in Mathematics, University of College London (UK), January 4-8, 2017.

[4] H. Tadano, Diameter bounds, Gap Theorems and Hitchin-Thorpe Inequalities for Compact Quasi-Einstein Manifolds, Differential Geometry, Bedlewo near Poznan (Poland), June 19-24, 2017.

[5] H. Tadano, Some Myers Type Theorems for Complete Ricci Solitons, The Third Japanese-Spanish Workshop on Differential Geometry, Madrid (Spain), September 21, 2017.

[6] H. Tadano, Compactness Theorems, Gap Theorems, and Diameter Bounds for Sasaki Manifolds, The Fifth Franco-Japanese-Vietnamese Symposium on Singularities, Kagoshima University (Japan), October 31, 2017.

[7] H. Tadano, Diameter Bounds and Hitchin–Thorpe Inequalities for Compact Ricci Solitons, Workshop on Geometric Evolution Equations, Universität Regensburg (Germany), March 5-8, 2018.

[8] H. Tadano, Geometry of Gradient Sasaki-Ricci Solitons, Conference and School: RIEMain in Contact, Cagliari (Italy), June 22, 2018.

**Selected Invite****d Talks (Domestic****)**

[1] H. Tadano, Gap Theorems for Compact Gradient Sasaki-Ricci Solitons, Geometry Seminar at Osaka University, Osaka University (Osaka), June 9, 2014.

[2] H. Tadano, Gap Theorems for Compact Gradient Sasaki-Ricci Solitons, The 61th Geometry Symposium, Meijo University (Aichi), August 25, 2014.

[3] H. Tadano, Gap Theorems for Compact Gradient Sasaki-Ricci Solitons, Geometry Seminar at Tokyo Institute of Technology, Tokyo Institute of Technology (Tokyo), October 24, 2014.

[4] H. Tadano, An Upper Diameter Bound for Compact Ricci Solitons with Applications to the Hitchin-Thorpe Inequality, The 62th Geometry Symposium, Tokyo University of Science (Tokyo), August 28, 2015.

[5] H. Tadano, Some Ambrose and Galloway Type Theorems for Ricci Solitons, Geometric Flows and Related Problems, Tokyo Institute of Technology (Tokyo), March 4, 2016.

[6] H. Tadano, Geometry of Ricci Solitons, Differential Topology Seminar, Kyoto University (Kyoto), February 9, 2017.

[7] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems for Ricci Solitons, Geometry Seminar at Tokyo Institute of Technology, Tokyo Institute of Technology (Tokyo), May 26, 2017.

[8] H. Tadano, On Myers Type Theorems for Ricci Solitons, Tambara Topology and Geometry Seminar, Tambara Institute of Mathematical Sciences, The University of Tokyo (Gunma), August 2, 2017.

[9] H. Tadano, Some Cheeger-Gromov-Taylor Type Compactness Theorems for Ricci Solitons, The 64th Geometry Symposium, Kanazawa University (Ishikawa), August 28, 2017.

[10] H. Tadano, Geometry of Ricci Solitons, Geometry Seminar of Ritsumeikan University (Shiga), February 1, 2018.

**Staying Abroad (More than Two Weeks)**

[1] June 21, 2014 — July 29, 2014, Institute of Mathematics, University of Santiago de Compostela (Santiago de Compostela, Spain)

[2] November 18, 2014 — January 4, 2015, Department of Mathematics and Statistics, University of New Mexico (New Mexico, United States)

[3] January 9, 2015 — January 31, 2015, Institute of Mathematics, University of Santiago de Compostela (Santiago de Compostela, Spain)

[4] February 28, 2015 — March 13, 2015, Institute of Mathematics, University of Santiago de Compostela (Santiago de Compostela, Spain)

[5] May 5, 2016 — July 28, 2016, Institute of Mathematics, University of Santiago de Compostela (Santiago de Compostela, Spain)

[6] March 3, 2017 — March 20, 2017, Institute of Mathematics, Academia Sinica (Taipei, Taiwan)

[7] February 20, 2018 — March 20, 2018, Institute of Differential Geometry, Leibniz Universität Hannover (Hannover, Germany)

**Grants**

[1] JSPS Grant-in-Aid for Young Scientists, 18K13417, April 1, 2018-March 31, 2022.

at **Houtong Cat Village** in Taiwan (Ruifang, Taiwan, March 2017)

【平成29年度前期】

位相1演習 (理学部第一部)

幾何学1 演習 (理学部第一部)

数学概論 (理学部第二部)

【平成29年度後期】

幾何学2演習 (理学部第一部)

微分幾何学2演習(理学部第一部)

数学研究2 (理学部第一部)

【平成30年度前期】

位相1演習 (理学部第一部)

幾何学1 演習 (理学部第一部)

数学概論 (理学部第二部)

【平成30年度後期】

幾何学2演習 (理学部第一部)

数学研究2 (理学部第一部)