Nikolai Ivanov (mathematician): Difference between revisions

Revision as of 12:04, 13 August 2019

Latest revision as of 18:31, 15 June 2025

(20 intermediate revisions by 14 users not shown)

Line 1:

{{Short description|Russian mathematician (born 1954)}}

{{Infobox scientist

| name = Nikolai V. Ivanov

| image =

| image_size =

| alt =

| caption =

| birth_date = {{birth year and age|1954}}

| birth_place =

| death_date =

| death_place =

|residence citizenship = [[United States]]

|citizenship nationality = Russian

|nationality ethnicity = [[Russia]]

|ethnicity fields = [[Mathematics]]

|fields workplaces = [[MathematicsMichigan State University]]

|workplaces alma_mater = [[MichiganSteklov StateMathematical UniversityInstitute]]

| doctoral_advisor = [[Vladimir Abramovich Rokhlin]]

|alma_mater = [[Steklov Mathematical Institute]]

| academic_advisors =

|doctoral_advisor = [[Vladimir Abramovich Rokhlin]]

| doctoral_students =

|academic_advisors =

| notable_students =

|doctoral_students =

| known_for = Contributions to [[Teichmüller theory]]

|notable_students =

|known_for awards = Contributions to [[Teichmüller theory]]=

|influences religion = [[Jean Dieudonné]] =

|influenced signature = <!--(filename only)-->

|awards signature_alt =

|religion footnotes =

|signature = <!--(filename only)-->

|signature_alt =

|footnotes =

}}

'''Nikolai V. Ivanov''' (in [[Russian language{{langx|ru|Russian]]: ''Николай ВасильевичВладимирович Иванов''}}, born in 1954) is a [[Russia]]nRussian [[mathematician]] who works on [[topology]], [[geometry]] and [[group theory]] (particularly, modular [[Oswald Teichmüller|Teichmüller groups]]).<ref>[[Mathematical Association of America]], ''Monthly'' 118: "Arnol’d, the Jacobi Identity, and Orthocenters", p. 65.</ref> He is a professor at [[Michigan State University]].<ref name="GS">{{Google Scholar id | 49c0ynQAAAAJ}}</ref>

He obtained his Ph.D. under the guidance of [[Vladimir Abramovich Rokhlin]] in 1980 at the [[Steklov Mathematical Institute]].<ref>{{MathGenealogy|25044}}</ref>

Among his contributions to mathematics are his classification of [[subgroup]]s of surface [[mapping class group]]s,<ref>[https://arxiv.org/pdfabs/0908.1255v1.pdf1255 Handel & Mosher: Subgroup classification in Out(Fn)]</ref> and the establishment that surface [[mapping class group]]s satisfy the [[Tits alternative]].<ref>[https://arxiv.org/pdfabs/0812.1783v1.pdf1783 Leininger & Margalit: Two generator subgroups of the pure braid group]</ref>

According to [[Google Scholar]], on 11 March 2018, Ivanov's works had received 2,234 citations and his [[h-index]] was 23.<ref name="GS"/>

He is a fellow of the [[American Mathematical Society]] since 2012.<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society]</ref>

He is the author of the 1992 book ''Subgroups of Teichmüller Modular Groups''.<ref>Review by [[Francis Bonahon]]: ''Bull. Amer. Math. Soc.'' 30 (1994), 138–142.</ref>

Among his contributions to mathematics are his classification of [[subgroup]]s of surface [[mapping class group]]s,<ref>[https://arxiv.org/pdf/0908.1255v1.pdf Handel & Mosher: Subgroup classification in Out(Fn)]</ref> and the establishment that surface [[mapping class group]]s satisfy the [[Tits alternative]].<ref>[https://arxiv.org/pdf/0812.1783v1.pdf Leininger & Margalit: Two generator subgroups of the pure braid group]</ref>

== Selected publications ==

Line 54 ⟶ 50:

{{Authority control}}

{{DEFAULTSORT:Ivanov, Nikolai V.}}

[[Category:Russian mathematicians]]

[[Category:1954 births]]

[[Category:Topologists]]

Line 63 ⟶ 59:

[[Category:Michigan State University faculty]]

[[Category:Steklov Institute of Mathematics alumni]]

[[Category:20th-century Russian mathematicians]]

[[Category:21st-century Russian mathematicians]]

[[Category:Soviet mathematicians]]