Geometric variational problems, sub-riemannian geometry, metric measure spaces, convex sets, Carnot groups Name of the. Universidad de Granada

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1 Part A. Personal Information DATE 15/12/2017 Surname(s) Ritoré Forename Manuel Social Security, Passport, ID number Sex Age WoS Researcher ID (*) J SCOPUS Author ID(*) Researcher codes Open Researcher and Contributor ID (ORCID) (*) At least one of these is mandatory A.1. Current position Post/ Professional Category Full Professor UNESCO Code 1204, Key Words Geometric variational problems, sub-riemannian geometry, metric measure spaces, convex sets, Carnot groups Name of the Universidad de Granada University/Institution Department/Centre Geometría y Topología Full Address Avda. Fuentenueva, s/n Address ritore@ugr.es Phone Number Start date 07/07/2007 A.2. Education (title, institution, date) Year University Degree Title 1989 Extremadura First degree Mathematics Masters (if appropriate) 1994 Granada PhD Mathematics A.3. Indicators of Quality in Scientific Production (See the instructions) Positive evaluations of research activity: 4 (the last one for the period ) Number of Ph.D. Thesis supervised in the last 10 years: 3 (2 more in progress) Total cites: 509 (without self-citations: 447) Mean cites in the period : ( ) / 5 = 42,6 Total number of publications in Q1: 23 h-number: 13 Part B. Free Summary of CV (Max. of characters, including spaces) I got my Ph.D. degree in Mathematics at the University of Granada in 1997 with a memoir on constant mean curvature surfaces under the direction of A. Ros. Since then, my research interests have focused on geometric variational problems in Riemannian and non- Riemannian spaces, with special interest on isoperimetric problems. In the last years, I became more interested in spaces with a more intricate structure, such as sub-riemannian manifolds and more general metric measure spaces. I made short post-doctoral research stays at MSRI-Berkeley and IMPA-Rio de Janeiro. Since 2004, I was awarded several MTM research grants as a principal investigator. I was 1 of 4 / Short CV

2 coordinator of the Spanish Network of Geometric Analysis and currently I am the local node coordinator of the project GHAIA (Geometric and Harmonic Analysis with Industrial Applications) funded through the call H2020-MSCA-RISE I am also the founding Journal Editor of Analysis and Geometry in Metric Spaces, published by De Gruyter Open since I use to collaborate as a referee with prestigious journals such as Duke Mathematical Journal, Inventiones Mathematicae, Advances in Mathematics, Calculus of variations and PDEs and Journal für die Reine und Angewandte Mathematik, among others. Some remarkable results I have obtained in solitary or in collaboration are: complete classifications of isoperimetric sets in the 3-dimensional real projective space and in the product of a circle with Euclidean space; a complete classification of double bubbles in the 3- dimensional Euclidean space R3; a topological characterization of isoperimetric curves in convex surfaces; existence of solutions of the Allen-Cahn equation near non-degenerate minimal surfaces; an alternative proof of the isoperimetric conjecture for 3-dimensional Cartan-Hadamard manifolds; optimal isoperimetric inequalities outside convex sets, both in Euclidean space and in 3-dimensional Cartan-Hadamard manifolds; partial solutions to the isoperimetric conjecture in the sub-riemannian Heisenberg groups, either assuming that the boundary of the set is C2 in the first Heisenberg group H1 or under symmetry assumptions in Hn; solutions of the Bernstein problem in the first Heisenberg group H1; regularity results for surfaces of prescribed mean curvature in 3-dimensional contact sub-riemannian manifold; a Steiner s formula in the Heisenberg groups; a Brunn-Minkowski inequality for metric measure spaces; and a characterization of isoperimetric regions of large volumes in Riemannian cylinders (product of a compact Riemannian manifold with Euclidean space). Currently I am interested in regularity problems for solutions of geometric variational problems in sub-riemannian manifolds and spaces with low regularity where classical approaches are useless. Since 2007, I am full professor at the Department of Geometry and Topology of the University of Granada. Part C. Relevant accomplishments C.1. Publications 1. M. Ritoré, E. Vernadakis, Large isoperimetric regions in the product of a compact manifold with Euclidean space. Adv. Math. 306 (2017) M. Galli, M. Ritoré, Regularity of C1 surfaces with prescribed mean curvature in threedimensional contact sub-riemannian manifolds, Calc. Var. PDE 54, no. 3 (2015) M. Galli, M. Ritoré, Area-stationary and stable surfaces of class C1 in the sub- Riemannian Heisenberg group H1, Adv. Math. 285 (2015) M. Ritoré, E. Vernadakis, Isoperimetric inequalities in convex cylinders and cylindrically bounded convex bodies, Calc. Var. PDE 54, no. 1 (2015) M. Ritoré, E. Vernadakis, Isoperimetric inequalities in Euclidean convex bodies, Transactions Amer. Math. Soc. 367 (2015) M. Ritoré, A proof by calibration of an isoperimetric inequality in the Heisenberg group Hn, Calc. Var. PDE 44 no. 1-2 (2012), A. Hurtado, M. Ritoré, C. Rosales, The classification of complete stable area-stationary surfaces in the Heisenberg group H1, Adv. Math. 224 no. 2 (2010) M. Ritoré, C. Sinestrari, Mean curvature flow and isoperimetric inequalities, Advanced Courses in Mathematics - CRM Barcelona, Birkhaüser, ISBN: M. Ritoré, C. Rosales, Area-stationary surfaces in the Heisenberg group H1, Adv. Math. 219 no. 2 (2008) J. Choe, M. Ritoré, The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds, J. Reine Angew. Math. 605 (2007) of 4 / Short CV

3 C.2. Research Projects and Grants Short CV Title: Modeling Nature: from Nano to Macro Institution: University of Granada Principal investigator: Manuel Ritoré (Scientific coordinator) Funding institution: University of Granada. Program on Excellence Research Units. Period: 4 years (under evaluation) Total amount: up to Title: Geometric and Harmonic Analysis with Interdisciplinary Applications. EU GHAIA Institution: University of Bologna Principal investigator: Giovanna Citti. Local node coordinator at UGR: Manuel Ritoré Funding institution: European Commission (H2020-MSCA-RISE-2017) Period: Total amount: ~ Title: Desigualdades geométricas (MTM C2-1-P) Principal investigator: Manuel M. Ritoré Cortés Number of researchers: 5 Funding institution: MINECO-Feder Period: Total amount: Title: Desigualdades isoperimétricas en espacios de medida métricos (MTM C02-01) Investigador responsable: Manuel M. Ritoré Cortés Number of researchers: 9 Funding institution: MEC-Feder Period: Total amount: Title: Desigualdades isoperimétricas en espacios de medida métricos (MTM ) Principal investigator: Manuel M. Ritoré Cortés Number of researchers: 6 Funding institution: MEC-Feder Period: Total amount: Title: Red espanola de analisis geométrico (MTM E/MTM) Principal investigator: Manuel M. Ritoré Cortés Funding institution: MINECO Period: 26/10/ /10/2013 Total amount: C.5, C.6, C.7 Other Selected Talks in the last ten years (as invited speaker) 1. Conference on Calculus of Variations, Optimal Transportation, and Geometric Measure Theory: from Theory to Applications. Univ. Lyon July, Conference Isoperimetric problems between Analysis and Geometry, SNS Pisa, June of 4 / Short CV

4 3. Workshop Special Analysis afternoon, ETH Zürich, March Congreso RSME-2013 (main speaker), Santiago de Compostela, January Conference Isoperimetric problems, space-filling and soap bubble geometry, ICMS Edinburgh, March Conference KIAS conference on Geometric Analysis, Korean Institute for Advanced Study, Seoul, September Conference Iberian Mathematical Meeting (main speaker), Lisboa, February Selected courses in the last ten years 1. Geometric Analysis in the Heisenberg group, University of Bologna, March Isoperimetric inequalities, the University of Padova, June CRM Advanced Course on Geometric Flows and Hyperbolic Geometry, CRM Barcelona, March Fifth School on Analysis and Geometry in Metric Spaces, Levico Terme, June Seminars at Institut Henri Poincaré, Postdam, Freiburg, U. Paris-Sud Orsay, Rutgers, Jyväskylä, Polish Academy of Sciences, Paris-7, Oberwolfach, Luminy Editorial work 1. Journal Editor of Analysis and Geometry in Metric Spaces 2. Referee of a large number of prestigious scientific journals 3. Reviewer of Zentralblatt für Mathematik Organization of Scientific activities 1. Research term and workshop on Analysis and Geometry in Metric Spaces, ICMAT, April June Encuentro de investigadores de la REAG, Granada, October Scientific assessment Scientific advisor of funding institutions: NSF (National Science Foundation), Chile, FWF (Austrian Science Fund), European Commission, ANECA, ANEP, AEI. Membership of Scientific Societies Member of RSME and EMS Ph.D. Programs Short CV Member of the academic advisory board of the Ph.D. program Física y Matematicas, University of Granada. Coordinator of academic agreements with Master and Ph.D. programs on Mathematics of the Universities of Bologna and Modena. 4 of 4 / Short CV

5 Instructions Important Announcement Following the Call for Proposals, ONLY CVS SUBMITTED IN THIS FORMAT WILL BE TAKEN INTO CONSIDERATION. CVs presented in other formats WILL BE DISMISSED with no possibilities for modifications. GENERAL CONSIDERATIONS Following the call it is mandatory to use the following format when filling the document: Font Times New Roman / Arial (minimum size 11), single interlineal space, lateral margins of 2.5 cm and top and bottom margins of 1.5 cm. Max. length of the whole document (Part A, B and C) cannot exceed four pages. PART A. PERSONAL INFORMATION Researcher ID is a unique identifier that consists of alphanumeric characters that enable researchers to manage their publication lists, track their times cited counts and h-index, identify potential collaborators and avoid author misidentification. It is hosted by Web of Science. Access: Web of Science > My Tools > Researcher ID. Author ID is a unique identifier that consists of alphanumeric characters that enable researchers to manage their publication lists, track their times cited counts and h-index, identify potential collaborators and avoid author misidentification. It is assigned automatically by SCOPUS. You can find an author identifier by running a search for that author. It will appear underneath the author details. Access: SCOPUS > Author Feedback Wizard> Researcher name. Open Researcher and Contributor ID (ORCID) provides a persistent digital identifier that distinguishes the researcher from every other person and, through integration in key research workflows such as manuscript and grant submission, supports automated linkages between you and your professional activities ensuring that your work is recognized. Access: A.3. Indicators of Quality in Scientific Production Please add information on a) total number of citations, average number of citations during the last five years, b) total number of publications in the first quartile (Q1) and first decile (D1), c) h-index, d) thesis supervised, and e) any other indicators that you may consider relevant. To calculate these values, use default data collected in the Web of Science or Scopus. When this is not possible, other indicators may be used, specifying the reference database. PART B. FREE SUMMARY OF CV (Max. of characters, including spaces) Describe briefly your scientific career, the main scientific-technical achievements, and the mid-to-long term scientific-technical interests and objectives of your research agenda. Indicate any other aspects that you may consider important to understand your career path. PART C. ACCOMPLISHMENTS (Order by typology) Given the limitations in number of characters, please mention the most relevant achievements sorted by the typology that best suits your scientific profile. Please be clear and avoid ambiguities. 1 of 2 / Instructions to fill in the Short CV

6 Use reverse chronological order within each section. Limit your merits over the past 5 years, except for those which have an extraordinary importance for your CV. C.1. Publications Include a full review of relevant 5 to 10 publications. In case of an article, please include authors in order of signature, year of publication, title of the article, name of the journal, volume, start page to end page. If it's a book or chapter of a book, include its publisher and ISBN also. If there are many authors, please indicate the total number of signatories and the position of the researcher (total number/ position of researcher) as for example 95/18. C.2. Participation in Research, Development and Innovation Projects Indicate the most important projects in which you have participated (maximum 5 to 7 projects), including a) its reference, b) title, c) funding body and call for proposals, d) name of the principal investigator and his/her institution affiliation, e) date of start and end of the project, f) amount of subsidy, and g) your type of participation, e.g.: researcher, principal investigator, European project coordinator, etc.. C.3. Participation in Research, Development and Innovation Contracts Indicate the most important contracts in which you have participated (maximum 5 to 7 contracts), including a) title, b) company or entity, c) name of principal investigator and his/her institution affiliation, d) date of start and end of the contract, and e) amount of funding. C.4. Patents Indicate the most important patents and other intellectual property in which you have collaborated. Give a) the order of signing authors, b) reference, c) title, d) priority countries, e) date, f) holder entity and companies that are exploiting the patents. C.5, C.6, C.7 Other By sequential numbering (C.5, C.6, C.7...) please include any other achievements that you deem necessary, such as for example: direction of works, participation in assessment or advisory tasks, membership of international committees, management of scientific activity, editorial boards, scientific awards, etc. FINAL CONSIDERATIONS Please remember that all the submitted achievements must be presented concisely, including dates or periods for each performance. The short CV aims to facilitate, organize and streamline the evaluation process. The use of the individual researcher identifier facilitates access to the published scientific papers and information on the impact of each of them. Remember that only CVs submitted either in this format or in CVN abridged version will be taken into consideration. 2 of 2 / Instructions to fill in the Short CV