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UCHIYAMA Tomohiro

Profile Research field Education Activities Research achievement On-Campus Activities Off-Campus Activities

 

Published Papers
No.Title URL, Journal, Vol( Number), From Page- To Page, Publication date, DOI 
1
A necessary and sufficient condition for the existence of chaotic dynamics in a neoclassical growth model with a pollution effect , Economic theory bulletin, ,   , Apr. 2024,  
2
Complete reducibility of subgroups of reductive algebraic groups over non-perfect fields IV: An 𝐹4 example , Journal of Group Theory, ,   , Nov. 30, 2021, https://doi.org/10.1515/jgth-2020-0191 
3
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields III , COMMUNICATIONS IN ALGEBRA, 47( 12), 4928- 4944, Dec. 2019, https://doi.org/10.1080/00927872.2019.1602873 
4
Complete reducibility, Kulshammer's question, conjugacy classes: A D_4 example , COMMUNICATIONS IN ALGEBRA, 46( 3), 1333- 1343, Apr. 2018, https://doi.org/10.1080/00927872.2017.1346106 
5
Non-separability and complete reducibility: E_n examples with an application to a question of Kulshammer , JOURNAL OF GROUP THEORY, 20( 5), 925- 944, Sep. 2017, https://doi.org/10.1515/jgth-2017-0005 
6
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields II , COMMUNICATIONS IN ALGEBRA, 45( 11), 4833- 4845, 2017, https://doi.org/10.1080/00927872.2017.1284225 
7
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields I , JOURNAL OF ALGEBRA, 463,  168- 187, Oct. 2016, https://doi.org/10.1016/j.jalgebra.2016.05.023 
8
Rationality problems for complete reducibility of subgroups of reductive algebraic groups , University of Auckland, PhD thesis, ,   , Sep. 2016,  
9
Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type E_7 , JOURNAL OF ALGEBRA, 422,  357- 372, Jan. 2015, https://doi.org/10.1016/j.jalgebra.2014.09.021 
10
Complete reducibility of subgroups of the Weyl group of a simple algebraic group , University of Canterbury, MSc thesis, ,   , Sep. 2012,  

 

MISC
No.Title URL, Journal, Vol( Number), From Page- To Page, Publication date 
1
Odd period cycles and ergodic properties in price dynamics for an exchange economy , , ,   , Apr. 14, 2024 
2
Characterising the existence of an odd period cycle in price dynamics for an exchange economy , , ,   , Dec. 22, 2023 
3
A necessary and sufficient condition for the existence of chaotic dynamics in a neoclassical growth model with a pollution effect , , ,   , Nov. 6, 2023 
4
A necessary and sufficient condition for the existence of chaotic dynamics in an overlapping generations model , , ,   , Oct. 24, 2023 
5
A necessary and sufficient condition for the existence of chaotic price dynamics in an exchange economy , , ,   , Sep. 17, 2023 
6
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An F_4 example , arXiv, ,   , Nov. 2020 
7
A geometric approach to the transfer problem for a finite number of traders , , ,   , Jan. 17, 2017 
8
Complete reducibility and isogenies over an arbitrary field , , ,   , Nov. 9, 2014 

 

Conference Activities & Talks
No.Title, Conference, Publication date, Promoter, Venue 
1
G-complete reducibility over nonperfect fields, , Feb. 1, 2021, ,  
2
Rationality problems for complete reducibility, , Aug. 2019, ,  
3
Complete reducibility, geometric invariant theory, spherical buildings, , Jun. 2017, ,  
4
Complete reducibility, Kulshammer's question, conjugacy classes: A D4 example, , Jun. 2017, ,  
5
Introduction to buildings, , Mar. 2017, ,  
6
Serre's notion of complete reducibility, , Feb. 2017, ,  
7
Complete reducibility, geometric invariant theory, spherical buildings, , Feb. 2017, ,  
8
Rationality problems for complete reducibility, , Jul. 2016, ,  
9
Non-separable subgroups of linear algebraic groups, , Jan. 2014, ,  
10
Complete reducibility and separability, , Oct. 2013, ,  
11
Complete reducibility and rationality, , Jul. 2013, ,  
12
On the number of conjugacy classes of n-tuples of linear algebraic groups, , Jun. 2013, ,  

 

Awards Honors
No.Publication date, Association, Prize, Subtitle 
1
Aug. 2019, Alexander von Humboldt Foundation, Alexander von Humboldt Fellow (lifetime), Complete reducibility, geometric invariant theory, spherical buildings 
2
Jun. 2019, Soka university, Faculty performance award,  
3
Apr. 2018, Alexander von Humboldt Foundation, Alexander von Humboldt Fellowship, Complete reducibility, geometric invariant theory, spherical buildings 
4
Dec. 2012, Royal Society of New Zealand, Marsden Grant PhD Fellowship, Complete reducibility of subgroups of algebraic groups 
5
Jul. 2011, Royal Society of New Zealand, Marsden Grant Masters Fellowship, Serre's notion of complete reducibility 
6
Feb. 2011, University of Canterbury, University of Canterbury Master's Scholarship, Serre's notion of complete reducibility 
7
Jan. 2009, University of Canterbury, University of Canterbury Summer Scholarship, Non-Euclidean geometry 
8
Feb. 2008, University of Canterbury, University of Canterbury Department of Mathematics Scholarship,  
9
Apr. 1999, Takenaka Foundation, Takenaka Fellowship,  
10
Apr. 1998, Moroto Foundation, Moroto Fellowship,  

 

Research Grants & Projects
No.Offer organization, System name, Title, Fund classification, Date 
1
Alexander von Humboldt foundation, Japan-Germany joint research fellowship, Complete reducibility, geometric invariant theory, spherical buildings: a uniform approach to representations of algebraic groups, ,  Sep. 2022 - Aug. 2023 
2
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists, Complete reducibility, geometric invariant theory, spherical buildings: a uniform approach to representations of algebraic groups, competitive_research_funding,  Apr. 2022 - Mar. 2027 
3
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists, Complete reducibility, geometric invariant theory, spherical buildings: a new approach to representations of algebraic groups, ,  Apr. 2019 - Mar. 2022 
4
Alexander von Humboldt foundation, Alexander von Humboldt research fellowship, Complete reducibility, geometric invariant theory, spherical buildings, competitive_research_funding,  Mar. 2019 - Mar. 2021 
5
JSPS, JSPS-Humboldt travel fund, Complete reducibility, geometric invariant theory, spherical buildings, ,  Feb. 2019 - Aug. 2019 
6
Ruhr University of Bochum, DFG project, Serre's notion of complete reducibility and geometric invariant theory (within the DFG priority programme in representation theory), ,  Feb. 2019 - Aug. 2019 
7
Alexander von Humboldt foundation, Alexander von Humboldt research fund, Complete reducibility, geometric invariant theory, spherical buildings, ,  Feb. 2019 - Aug. 2019 
8
Soka University, Research promotion fund, Complete reducibility, geometric invariant theory, spherical buildings, ,  Apr. 2018 - Mar. 2019 
9
Ruhr university of Bochum, Research Explorer Ruhr, Rationality problems for complete reducibility of subgroups of reductive algebraic groups, ,  Jun. 2017 - Jun. 2017 
10
National Taiwan University, NCTS travel grant, Complete reducibility of subgroups of reductive algebraic groups, ,  Aug. 2016 - Mar. 2018 
11
New Zealand Mathematical Society, New Zealand Mathematical Society Postgraduate Research Grant, Complete reducibility of subgroups of reductive algebraic groups, ,  Dec. 2012 - Jun. 2016