“ “Moreover, according to Alexander, the “troubled mathematical martyr,” exemplified not only by Galois but also by Abel, János Bolyai, Riemann, Cantor, Gödel, Turing, John Nash, Grothendieck, Perelman, and even, in a certain sense, Cauchy, remains to this day the dominant image of the “ideal mathematician,” long after the romantic paradigm was exhausted in the arts.” — Michael Harris (mathematician) ✦ Customize This Quote SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT QUOTE AUTHOR FRAME “Moreover, according to Alexander, the “troubled mathematical martyr,” exemplified not only by Galois but also by Abel, János Bolyai, Riemann, Cantor, Gödel, Turing, John Nash, Grothendieck, Perelman, and even, in a certain sense, Cauchy, remains to this day the dominant image of the “ideal mathematician,” long after the romantic paradigm was exhausted in the arts.” — Michael Harris (mathematician)
“ “Just as Weil's conjectures were about counting solutions to equations in a situation where the number of solutions is known to be finite, the BSD conjecture concerns the simplest class of polynomial equations—elliptic curves—for which there is no simple way to decide whether the number of solutions is finite or infinite.” — Michael Harris (mathematician) ✦ Customize This Quote SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT QUOTE AUTHOR FRAME “Just as Weil's conjectures were about counting solutions to equations in a situation where the number of solutions is known to be finite, the BSD conjecture concerns the simplest class of polynomial equations—elliptic curves—for which there is no simple way to decide whether the number of solutions is finite or infinite.” — Michael Harris (mathematician)
“ “Langlands' life has been by no means as extravagant as Grothendieck's, but his romanticism is evident to anyone who reads his prose; the audacity of his program, one of the most elaborate syntheses of conjectures and theorems ever undertaken, has few equivalents in any field of scholarship.” — Michael Harris (mathematician) ✦ Customize This Quote SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT QUOTE AUTHOR FRAME “Langlands' life has been by no means as extravagant as Grothendieck's, but his romanticism is evident to anyone who reads his prose; the audacity of his program, one of the most elaborate syntheses of conjectures and theorems ever undertaken, has few equivalents in any field of scholarship.” — Michael Harris (mathematician)
“ “Langlands and Grothendieck are both Giants by any measure, and both were consciously successors of Galois.” — Michael Harris (mathematician) ✦ Customize This Quote SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT QUOTE AUTHOR FRAME “Langlands and Grothendieck are both Giants by any measure, and both were consciously successors of Galois.” — Michael Harris (mathematician)
“ “Within mathematics itself, Voevodsky's proposal, if adopted, will create a new paradigm. In his “fairy tale” and some of his other papers, Langlands made deft use of categories and even 2-categories, but number theory is only superficially categorical, and so is the Langlands program. In the event that Univalent Foundations could shed light on a guiding problem in number theory — the Riemann hypothesis or the Birch Swinnerton-Dyer conjecture, which is not so far removed from Voevodsky's motives — then we could easily see Grothendieck's program absorbing the Langlands program within Voevodsky's new paradigm.” — Michael Harris (mathematician) ✦ Customize This Quote SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT QUOTE AUTHOR FRAME “Within mathematics itself, Voevodsky's proposal, if adopted, will create a new paradigm. In his “fairy tale” and some of his other papers, Langlands made deft use of categories and even 2-categories, but number theory is only superficially categorical, and so is the Langlands program. In the event that Univalent Foundations could shed light on a guiding problem in number theory — the Riemann hypothesis or the Birch Swinnerton-Dyer conjecture, which is not so far removed from Voevodsky's motives — then we could easily see Grothendieck's program absorbing the Langlands program within Voevodsky's new paradigm.” — Michael Harris (mathematician)