ꯒꯔ꯭ꯗ ꯐꯥꯜꯇꯤꯡꯁ

ꯒ꯭ꯔꯗ ꯐꯥꯜꯇꯤꯡꯁ
ꯒ꯭ꯔꯗ ꯐꯥꯜꯇꯤꯡꯁ
	Faltings in 2005
ꯄꯣꯛꯄ	꯲꯸ ꯖꯨꯂꯥꯏ ꯱꯹꯵꯴ (ꯆꯩꯍꯤ ꯷꯱); Gelsenkirchen-Buer, West Germany (now Germany)
ꯃꯍꯩ ꯃꯁꯤꯡ	University of Münster (Dip, PhD)
ꯁꯛꯈꯪꯅꯈꯤꯕ	Almost ring; Faltings height; Faltings' annihilator theorem; Faltings' theorem; Faltings' product theorem;
ꯃꯅꯥ-ꯃꯊꯨꯝ	Dannie Heineman Prize (1983); Fields Medal (1986); ICM Speaker (1986, 1994); Guggenheim Fellowship (1988); Leibniz Prize (1996); Von Staudt Prize (2008); Heinz Gumin Prize (2010); King Faisal International Prize (2014); Shaw Prize (2015) ; ForMemRS (2016); Cantor Medal (2017); Pour le Mérite (2024); Abel Prize (2026)
	Scientific career
ꯍꯤꯔꯝ	Mathematics
ꯃꯍꯩꯁꯡ	Max Planck Institute for Mathematics; University of Bonn; Princeton University; University of Wuppertal
Doctoral advisor	Hans-Joachim Nastold
Doctoral students	Michael J. Larsen; Shinichi Mochizuki; Wiesława Nizioł; Nikolai Durov;

ꯒꯔ꯭ꯗ ꯐꯥꯜꯇꯤꯡꯁ ( ꯱꯹꯵꯴ ꯒꯤ ꯖꯨꯂꯥꯏ ꯲꯸ ꯗ ꯄꯣꯛꯈꯤꯕ) ꯑꯁꯤ ꯑꯔꯤꯊꯃꯦꯇꯤꯛ ꯖꯣꯃꯤꯇ꯭ꯔꯤ ꯃꯍꯥꯛꯀꯤ ꯊꯕꯛꯒꯤꯗꯃꯛ ꯃꯃꯤꯡ ꯆꯠꯄ ꯖꯔꯃꯟꯒꯤ ꯃꯦꯊꯦꯟꯇꯤꯁ ꯑꯃꯅꯤ ꯫ ꯃꯍꯥꯛꯄꯨ ꯏꯪ ꯱꯹꯸꯶ ꯇ ꯃꯍꯥꯛꯀꯤ ꯃꯣꯔꯗꯦꯜ ꯀꯟꯖꯦꯛꯆꯔꯒꯤ ꯄ꯭ꯔꯣꯐꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯃꯔꯤ ꯂꯩꯅꯕ ꯀꯟꯖꯦꯛꯆꯣꯔ ꯀꯌꯥꯒꯤꯗꯃꯛ ꯐꯤꯜꯗ꯭ꯁ ꯃꯦꯗꯜ ꯄꯤꯈꯤ ꯫ ꯃꯍꯥꯛꯅ ꯃꯁꯤꯒꯤ ꯃꯥꯏꯄꯥꯛꯄꯁꯤꯡ ꯑꯁꯤꯒꯤꯗꯃꯛ ꯏꯪ ꯲꯰꯲꯶ ꯇ ꯑꯦꯕꯦꯜ ꯄ꯭ꯔꯥꯏꯖ ꯐꯪꯈꯤ ꯫

ꯃꯍꯩ-ꯃꯁꯤꯡ ꯇꯝꯕ

ꯐꯣꯜꯇꯤꯡ ꯑꯁꯤ ꯏꯪ ꯱꯹꯵꯴ ꯒꯤ ꯖꯨꯂꯥꯏ ꯲꯸ ꯗ ꯋꯦꯁꯠ ꯖꯔꯃꯅꯤ ꯒꯦꯜꯁꯦꯟꯀꯤꯔꯆꯦꯟ-ꯕꯨꯌꯔꯗ ꯄꯣꯛꯈꯤ ꯫ ꯏꯪ ꯱꯹꯷꯲ ꯗꯒꯤ ꯱꯹꯷꯸ ꯐꯥꯎꯕ ꯐꯦꯂꯤꯡꯁꯅ ꯃꯟꯁꯇꯔ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤꯗ ꯃꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯐꯤꯖꯤꯛ ꯭ ꯁ ꯇꯝꯈꯤ ꯫ ꯊꯥ ꯱꯵ ꯒꯤ ꯃꯊꯧ ꯇꯥꯗꯕ ꯂꯥꯟꯃꯤꯒꯤ ꯊꯕꯛꯇ ꯑꯀꯥꯏꯕ ꯄꯤꯔꯗꯨꯅ, ꯃꯍꯥꯛꯅ ꯏꯪ ꯱꯹꯷꯸ ꯗ ꯃꯥꯊꯃꯦꯇꯤꯛꯁꯇ ꯃꯍꯥꯛꯀꯤ ꯄꯤ. ꯑꯩꯆ. ꯗꯤ. ꯐꯪꯈꯤ ꯫

ꯁꯤꯟꯐꯝ ꯑꯃꯁꯨꯡ ꯊꯤꯖꯤꯟꯕꯒꯤ ꯊꯕꯛ

ꯏꯪ ꯱꯹꯸꯱ ꯗ ꯃꯍꯥꯛꯅ ꯃꯟꯁꯇꯔ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤꯗꯒꯤ ꯚꯦꯅꯤꯌꯥ ꯂꯦꯖꯦꯟꯗꯤ (ꯍꯦꯕꯤꯂꯤꯇꯦꯁꯟ) ꯏꯟ ꯃꯦꯊꯃꯦꯇꯤꯛꯁ ꯐꯪꯈꯤ ꯫ ꯃꯇꯝ ꯑꯁꯤꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯍꯥꯛ ꯃꯟꯁꯇꯔ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤꯗ ꯑꯦꯁꯤꯁꯇꯦꯟꯠ ꯄ꯭ꯔꯣꯐꯦꯁꯔ ꯑꯃ ꯑꯣꯏꯈꯤ ꯫ ꯏꯪ ꯱꯹꯸꯲ ꯗꯒꯤ ꯱꯹꯸꯴ ꯐꯥꯎꯕ ꯋꯨꯞꯔꯇꯥꯜ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤꯗ ꯄ꯭ꯔꯣꯐꯦꯁꯔ ꯑꯣꯏꯈꯤ ꯫^[꯳]

ꯏꯪ ꯱꯹꯸꯵ ꯗꯒꯤ ꯱꯹꯹꯴ ꯐꯥꯎꯕ ꯃꯍꯥꯛ ꯄ꯭ꯔꯤꯟꯁꯇꯟ ꯌꯨꯅꯤꯚꯔꯁꯤꯇꯤ ꯄ꯭ꯔꯣꯐꯦꯁꯔ ꯑꯣꯏꯈꯤ ꯫ ꯏꯪ ꯱꯹꯸꯸ ꯒꯤ ꯅꯤꯡꯊꯝꯊꯥꯗ ꯑꯃꯁꯨꯡ ꯑꯦꯀꯥꯗꯃꯤꯛ ꯏꯌꯔ ꯗ ꯃꯍꯥꯛ ꯏꯟꯁꯇꯤꯇ꯭ꯌꯨꯠ ꯐꯣꯔ ꯑꯦꯗꯚꯥꯟꯁ ꯁ꯭ꯇꯗꯤꯗ ꯚꯤꯖꯤꯇꯤꯡ ꯁ꯭ꯀꯣꯂꯔ ꯑꯃ ꯑꯣꯏꯈꯤ ꯫

ꯃꯍꯥꯛꯄꯨ ꯏꯪ ꯱꯹꯸꯶ ꯇ ꯃꯁꯤꯡꯒꯤ ꯂꯧꯐꯝꯁꯤꯡꯗ ꯑꯦꯕꯦꯂꯤꯌꯟ ꯃꯈꯜꯁꯤꯡ ꯇꯦꯠꯀꯤ ꯄ꯭ꯔꯖꯦꯛꯆꯔ ꯑꯗꯨ ꯈꯨꯗꯝ ꯇꯧꯅꯕꯒꯤꯗꯃꯛ ꯐꯤꯜꯗ꯭ꯁ ꯃꯦꯗꯜ ꯄꯤꯈꯤ, ꯃꯁꯤꯡꯒꯤ ꯂꯧꯐꯝꯗ ꯑꯦꯕꯦꯂꯤꯌꯟ ꯃꯈꯜꯒꯤ ꯁꯥꯐꯔꯦꯚꯤꯆ ꯄ꯭ꯔꯖꯦꯛꯇꯔ ꯑꯃꯁꯨꯡ ꯃꯁꯤꯡꯒꯤ ꯂꯧ ꯃꯐꯝ ꯑꯃꯗ ꯁꯟꯗꯣꯛꯅ ꯇꯥꯛꯂꯤꯕ g > 1 ꯒꯤ ꯁꯤꯡꯒꯨꯂꯔ ꯅꯠꯇꯕ ꯄ꯭ꯔꯣꯖꯦꯛꯇꯤꯕ ꯀꯔꯕ ꯑꯃꯍꯦꯛꯇꯗ ꯀꯦ-ꯔꯦꯁꯤꯅꯦꯜ ꯄꯣꯏꯟ ꯀꯌꯥ ꯈꯛꯇꯃꯛ ꯌꯥꯎꯏ ꯍꯥꯏꯅ ꯍꯥꯏꯔꯤꯕ ꯃꯣꯔꯗꯦꯜ ꯀꯟꯖꯦꯛꯇꯔ ꯫^[꯴]

ꯏꯪ ꯱꯹꯹꯴ ꯗ ꯏꯟꯇꯔꯅꯦꯁꯅꯦꯜ ꯀꯪꯒ꯭ꯔꯦꯁ ꯑꯣꯐ ꯃꯦꯊꯃꯦꯇꯤꯁꯤꯌꯟꯁꯇ ꯀꯧꯈꯤꯕ ꯁ꯭ꯄꯤꯀꯔ ꯑꯃꯥ ꯑꯣꯏꯅ ꯃꯍꯥꯛꯅ ꯃꯝꯐꯣꯔ꯭ꯗ-ꯁ꯭ꯇꯦꯕꯤꯂꯤꯇꯦꯠ ꯏꯟ ꯗꯔ ꯑꯜꯖꯦꯕ꯭ꯔꯥꯏꯁꯆꯦꯟ ꯖꯤꯑꯣꯃꯦꯇ꯭ꯔꯤ ꯂꯤꯠꯇ ꯋꯥꯀꯠꯄ ꯑꯃꯥ ꯄꯤꯈꯤ ꯫ 'ꯑꯖꯤꯕ꯭ꯔꯥꯏꯛ ꯖꯣꯃꯤꯇ꯭ꯔꯤꯗ ꯃꯝꯐꯣꯔ꯭ꯗ ꯁ꯭ꯇꯦꯕꯤꯂꯤꯇꯤ "꯫ ꯄꯣꯜ ꯚꯣꯖꯇꯥ ꯊꯧꯑꯣꯡꯁꯤꯡ ꯄꯥꯛꯊꯣꯛ-ꯆꯥꯎꯊꯣꯛꯍꯟꯗꯨꯅ, ꯃꯍꯥꯛꯅ ꯃꯣꯔꯗꯦꯜ-ꯂꯪꯒꯤ ꯋꯥꯈꯜꯂꯣꯟ ꯑꯗꯨ ꯄ ꯭ ꯔꯃꯥꯟ ꯇꯧꯈꯤ, ꯃꯁꯤ ꯃꯣꯔꯗꯦꯜꯒꯤ ꯋꯥꯈꯜꯂꯣꯟꯒꯤ ꯃꯤꯌꯥꯝꯒꯤ ꯑꯣꯏꯕ ꯃꯑꯣꯡ ꯑꯃꯅꯤ ꯫ ꯒꯤꯁꯕꯔꯠ ꯋꯁ ꯭ ꯊꯣꯜꯖꯒ ꯂꯣꯏꯅꯅꯥ, ꯃꯍꯥꯛꯅ ꯔꯣꯊꯀꯤ ꯊꯤꯑꯣꯔꯦꯝ ꯑꯗꯨ ꯑꯃꯨꯛ ꯍꯟꯅ ꯈꯨꯗꯝ ꯇꯧꯈꯤ, ꯃꯗꯨꯒꯤꯗꯃꯛ ꯔꯣꯊꯄꯨ ꯏꯪ ꯱꯹꯵꯸ ꯗ ꯐꯤꯜꯗ꯭ꯁ ꯃꯦꯗꯜ ꯄꯤꯈꯤ ꯫

ꯆꯩꯍꯤ ꯑꯗꯨꯃꯛꯇꯗ ꯃꯍꯥꯛ ꯖꯔꯃꯅꯤꯗ ꯍꯜꯂꯛꯈꯤ, ꯑꯃꯁꯨꯡ ꯏꯪ ꯱꯹꯹꯴ ꯗꯒꯤ ꯲꯰꯱꯸ ꯐꯥꯎꯕ ꯃꯍꯥꯛ ꯕꯣꯟ ꯂꯩꯕ ꯃꯦꯛ꯭ꯁ ꯄ꯭ꯂꯥꯟꯛ ꯏꯟꯁꯇꯤꯇ꯭ꯌꯨꯠ ꯐꯣꯔ ꯃꯦꯊꯃꯦꯇꯤꯛꯁꯀꯤ ꯗꯤꯔꯦꯛꯇꯔ ꯑꯃꯥ ꯑꯣꯏꯈꯤ ꯫ ꯏꯪ ꯱꯹꯹꯶ ꯇ ꯃꯍꯥꯛꯅ ꯗꯣꯏꯆ ꯐꯣꯔꯁꯆꯨꯡꯁꯖꯃꯦꯏꯟꯁꯥꯐꯠꯀꯤ ꯒꯣꯠꯐ꯭ꯔꯤꯗ ꯋꯤꯜꯍꯦꯝ ꯂꯦꯕꯅꯤꯖ ꯄ꯭ꯔꯥꯏꯖ ꯐꯪꯈꯤ ꯫

ꯐꯦꯂꯤꯡꯁꯅ ꯁꯤꯅꯤꯆꯤ ꯃꯣꯆꯤꯖꯨꯀꯤ, ꯋꯤꯁꯂꯥꯋꯥ ꯅꯤꯖꯤꯑꯣꯜ, ꯑꯃꯁꯨꯡ ꯅꯤꯀꯣꯂꯥꯏ ꯗꯨꯔꯣꯚ ꯌꯥꯎꯅ ꯄꯤ. ꯑꯩꯆ. ꯗꯤ. ꯒꯤ ꯃꯍꯩꯔꯣꯏ ꯗꯖꯟ ꯑꯃꯒꯤ ꯃꯊꯛꯇ ꯐꯣꯔꯃꯦꯜ ꯁꯨꯚꯥꯏꯖꯔ ꯑꯣꯏꯈꯤ ꯫

ꯏꯪ ꯲꯰꯲꯶ ꯀꯤ ꯃꯥꯔꯆ ꯱꯹ ꯗ ꯅꯣꯔꯚꯦꯒꯤ ꯑꯦꯀꯥꯗꯦꯃꯤ ꯑꯣꯐ ꯁꯥꯏꯟꯁ ꯑꯦꯟ ꯂꯦꯇꯔꯁꯅ ꯐꯦꯂꯤꯡꯁꯄꯨ ꯑꯦꯕꯦꯜ ꯄ꯭ꯔꯥꯏꯖ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯣꯏꯅ ꯂꯥꯎꯊꯣꯛꯈꯤ ꯫ ꯃꯅꯥ ꯑꯁꯤꯅ ꯏꯪ ꯱꯹꯸꯳ ꯗꯒꯤ ꯃꯍꯥꯛꯀꯤ ꯊꯕꯛ ꯑꯗꯨ ꯃꯁꯛ ꯇꯥꯛꯂꯤ, ꯃꯗꯨꯗ ꯃꯍꯥꯛꯅ ꯃꯣꯔꯗꯦꯜꯒꯤ ꯋꯥꯈꯜꯂꯣꯟ ꯑꯗꯨ ꯁꯣꯏꯗꯅ ꯈꯪꯍꯟꯗꯨꯅ ꯏꯟꯇꯤꯖꯔꯁꯤꯡ ꯑꯃꯒ ꯑꯃꯒ ꯃꯔꯤ ꯂꯩꯅꯕ ꯑꯦꯖꯤꯕ꯭ꯔꯥꯏꯛ ꯏꯀ꯭ꯌꯨꯁꯟꯁꯤꯡꯒꯤ ꯊꯤꯑꯣꯔꯤꯗ ꯌꯨꯝꯐꯝ ꯑꯣꯏꯕ ꯃꯍꯩꯁꯤꯡ ꯎꯠꯈꯤ ꯫^[꯵]

ꯂꯅꯥꯏꯒꯤ ꯄꯨꯟꯁꯤ

ꯐꯦꯂꯤꯡꯁꯅ ꯏꯪ ꯱꯹꯸꯴ꯗ ꯑꯦꯟꯖꯦꯂꯤꯀꯥ ꯁꯤꯝꯃꯦꯜꯒ ꯂꯨꯍꯣꯡꯈꯤ , ꯃꯍꯥꯛ ꯏꯪ ꯲꯰꯱꯱ ꯗ ꯂꯩꯈꯤꯗꯦ ꯫

ꯃꯅꯥꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯏꯀꯥꯏꯈꯨꯝꯅꯕꯁꯤꯡ

ꯗꯥꯅꯤ ꯍꯤꯅꯦꯃꯦꯟ ꯄ꯭ꯔꯥꯏꯖ (꯱꯹꯸꯳)
ꯐꯤꯜꯗ꯭ꯁ ꯃꯦꯗꯜ (꯱꯹꯸꯶)
ꯒꯨꯒꯖꯦꯟꯍꯥꯏꯝ ꯐꯦꯂꯣꯁꯤꯞ (꯱꯹꯸꯸/꯸꯹)
ꯒꯣꯠꯐ꯭ꯔꯤꯗ ꯋꯤꯜꯍꯦꯜꯝ ꯂꯦꯕꯅꯤꯖ ꯄ꯭ꯔꯥꯏꯖ (꯱꯹꯹꯶)
ꯚꯣꯟ ꯁ꯭ꯇꯥꯎꯗ ꯄ꯭ꯔꯥꯏꯖ (꯲꯰꯰꯸)
ꯍꯦꯟꯖ ꯒꯨꯃꯤꯟ ꯄ꯭ꯔꯥꯏꯖ (꯲꯰꯱꯰)
ꯀꯤꯡ ꯐꯥꯏꯁꯜ ꯏꯟꯇꯔꯅꯦꯁꯅꯦꯜ ꯄ꯭ꯔꯥꯏꯖ (꯲꯰꯱꯴)
ꯁꯥꯎ ꯄ꯭ꯔꯥꯏꯖ (꯲꯰꯱꯵)
ꯔꯣꯌꯦꯜ ꯁꯣꯁꯥꯏꯇꯤꯒꯤ ꯐꯣꯔꯦꯟ ꯃꯦꯝꯕꯔ (꯲꯰꯱꯶)
ꯀꯦꯟꯇꯣꯔ ꯃꯦꯗꯜ (꯲꯰꯱꯷)
ꯅꯦꯁꯅꯦꯜ ꯑꯦꯀꯥꯗꯦꯃꯤ ꯑꯣꯐ ꯁꯥꯏꯟꯁꯦꯁ ꯏꯟꯇꯔꯅꯦꯁꯅꯦꯜ ꯃꯦꯝꯕꯔ (꯲꯰꯱꯸)
ꯄꯣꯔ ꯂꯦ ꯃꯦꯔꯤꯠ ꯐꯣꯔ ꯁꯥꯏꯟꯁꯁ ꯑꯦꯟꯗ ꯑꯥꯔꯠ꯭ꯁ (꯲꯰꯲꯴)
ꯑꯦꯕꯦꯜ ꯄ꯭ꯔꯥꯏꯖ (꯲꯰꯲꯶)

ꯃꯇꯦꯡ ꯂꯧꯔꯛꯐꯝꯁꯤꯡ

↑ Castelvecchi, Davide (꯷ ꯑꯣꯛꯇꯣꯕꯔ ꯲꯰꯱꯵), "ꯑꯃꯥ The biggest mystery in mathematics: Shinichi Mochizuki and the impenetrable proof", ꯑꯃꯥ Nature 526 (7572): 178–181, Bibcode:2015Natur.526..178C, DOI:10.1038/526178a, PMID 26450038꯫
↑ ꯇꯦꯝꯄ꯭ꯂꯦꯠ:Mathgenealogy
↑ Kirbach꯫ Roland꯫ "Gerd Faltings: Genie ist für ihn normal" (in de)꯫ Die Zeit꯫ 8 June 1984 ꯫
↑ Hazewinkel, M. (꯱ ꯗꯤꯁꯦꯝꯕꯔ ꯲꯰꯱꯳), ꯑꯃꯥ Encyclopaedia of Mathematics: Monge—Ampère Equation — Rings and Algebras (ꯏꯪꯂꯤꯁꯗꯥ), Springer, ꯂꯃꯥꯏ: ꯱꯹, ISBN 978-1-4899-3791-9꯫
↑ "Mathematician who reshaped number theory wins prestigious Abel prize"꯫ Nature꯫ 19 March 2026 ꯫

[shin-1] Castelvecchi, Davide (꯷ ꯑꯣꯛꯇꯣꯕꯔ ꯲꯰꯱꯵), "ꯑꯃꯥ The biggest mystery in mathematics: Shinichi Mochizuki and the impenetrable proof", ꯑꯃꯥ Nature 526 (7572): 178–181, Bibcode:2015Natur.526..178C, DOI:10.1038/526178a, PMID 26450038꯫

[niz-2] ꯇꯦꯝꯄ꯭ꯂꯦꯠ:Mathgenealogy

[Zeit-3] Kirbach꯫ Roland꯫ "Gerd Faltings: Genie ist für ihn normal" (in de)꯫ Die Zeit꯫ 8 June 1984 ꯫

[4] Hazewinkel, M. (꯱ ꯗꯤꯁꯦꯝꯕꯔ ꯲꯰꯱꯳), ꯑꯃꯥ Encyclopaedia of Mathematics: Monge—Ampère Equation — Rings and Algebras (ꯏꯪꯂꯤꯁꯗꯥ), Springer, ꯂꯃꯥꯏ: ꯱꯹, ISBN 978-1-4899-3791-9꯫

[5] "Mathematician who reshaped number theory wins prestigious Abel prize"꯫ Nature꯫ 19 March 2026 ꯫

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