Ditzy Genius

""He was so learned that he could name a horse in nine languages; so ignorant that he bought a cow to ride on.""

- Benjamin Franklin

Contrasting with the Genius Ditz, who, while usually foolish and moronic, has flashes of insight or hidden talents, we have the Ditzy Genius who, while very intelligent and talented, has absolutely nothing in the way of common sense, logic, wit or tact.

This can occasionally be shown as naivete to the point of stupidity, and/or nigh-Suicidal Overconfidence / inability to see the danger in what they're doing. In any case, these characters end up landing themselves in trouble more often than not.

The primary difference between a Ditzy Genius and a Genius Ditz is that a Ditzy Genius has high general intelligence but is highly inept at something more mundane than their intellectual interests (social skills, for example) or lacks common sense, whereas the Genius Ditz usually seems dumb or clueless but is in fact highly proficient in at least one fairly specialised skill or field of knowledge. Contrast also Book Dumb, which is a character smart in mundane life but abysmal in everything academic.

Sometimes this is a deliberate characterization decision made to give a highly intelligent character a Fatal Flaw, or make them come across as weird, or any number of other reasons. Other times it happens entirely by accident because the writers keep tossing the Idiot Ball to a character who's (perhaps only because we're told as much) supposed to be academically brilliant.

See also Cloudcuckoolander or Brilliant but Lazy, especially in cases where the character's intelligence is largely informed. One of the standard Hollywood interpretations of a Nerd, the other two being the Hollywood Nerd and the Extroverted Nerd. Very closely related to Smarter Than You Look. Also compare Absent-Minded Professor, who isn't foolish so much as forgetful. See also No Social Skills and Sacrificed Basic Skill for Awesome Training.

Anime & Manga

 * Bulma from Dragon Ball is a prime example. While a mechanical genius and heir to a huge scientific corporation, she has absolutely no sense at all when it comes to dealing with danger. And yet somehow she gets the idea to become a treasure hunter. She gets only slightly better at this over the course of the series, in the sense that she doesn't walk headlong into danger without thinking first so much.
 * Lloyd in Code Geass. Brilliant mecha designer, does not understand basic human interaction. The characters are shocked to hear that he is engaged..
 * Kirino Chiba of Bamboo Blade is frequently behaving in a ditzy, overexcited manner. She is also ranked 20th in her year at school. Not genius level, but highly respectable nonetheless.
 * Naruto Uzumaki somehow shows this far and between in Part I when it comes to strategies and his ability to improvise under pressure. In Part II, it has come to the point where it is normally lampshaded by others.
 * Lamia Loveless in Super Robot Wars is a completely competent Super Robot pilot - calm, analytical and deadly in battle. During her normal life, however, she tends to act ditzy. This is justified, since she is a Ridiculously Human Robot who was created mere years ago, and had only recently discovered what it felt like to be human.
 * Kotomi in Clannad regularly tops or at least places in the top ten of national grade/test averages and studies incredibly advanced physics in her spare time. She also doesn't seem to see much problem with using scissors on any science book and reacts... very... slowly... to things, plus many similar traits that become more obvious with time. Watching her 'tsukkomi lessons' with Kyou and Nagisa can be both facepalm inducing and hilarious.
 * Miyako of Hidamari Sketch acts like she has a case of Attention Deficit Ooh Shiny, but her artistic and academic abilities are levels above the other characters—she's one of the few people who is Brilliant but Lazy but not Book Dumb. That said, her use of Gratuitous English is also quite terrible...
 * The writers of Tsukihime were apparently quite aware that the average reader was likely to dismiss Arcueid as an idiot. In truth, she's actually very intelligent and knowledgeable, she's just never had to pick up the skills that Shiki takes for granted. Which she points out. Plus, she's still a ditz.
 * In Hayate the Combat Butler, Maria and Nagi have both skipped grades and know multiple languages. When they are split up while on a train, Hayate is torn between protecting his master or staying with the maid until Hinagiku shows up for a less-than-fully-heroic rescue because they are completely clueless about the world.
 * Tenpou in Saiyuki Gaiden brilliant strategist, but seems baffled by everyday life and would probably be buried under a pile of books almost permanently if it wasn't for Kenren.
 * Teen Genius Hattori Heiji from Detective Conan. He's a brilliant detective who always keeps on par with Shinichi's deductions, but can't for the life of him remember to call Shinichi 'Conan' when they're in public. He also has a bit of a Hair-Trigger Temper, particularly when talking to his childhood friend Kazuha.
 * So much so that one fanfiction diagnosed Heiji with Asperger's Syndrome in a fictionalized psych profile.
 * Tamaki in Ouran High School Host Club is rather ditzy. He also has the second highest grades in his year without even trying, to the frustration of some.
 * Harumi Kiyama in A Certain Scientific Railgun is a very intelligent scientist, but lacks even the most basic shred of common sense. For example, her thought process when it's hot essentially comes down to "It's hot, therefore I should take off some clothes." The fact that she's doing this in public doesn't occur to her. She actually becomes the source of an Urban Legend about a "Stripper Lady" because of this.
 * Fairy Tail has had it's fair share of this:
 * Natsu: Good at coming up with new attacks when needed (whether he's conscious about it or not, very low social skill (a possible a side effects being raised by Igneel).
 * Erza, yes Erza: Weaponmaster, is obsessed with cake and lingerie and takes everything way too seriously.
 * Gildartz: strongest member of Fairy Tail, he defeated without touching him, is so absent minded that Magnolia has an alarm and has to complete change the layout of the city in fear that he would absentmindedly walk/destroy into someone home.
 * Black from Pokémon Special. Type match-ups, move accuracy, evolutionary lines, detailed information on every Gym Leader and Elite Four member (including their team line-ups), Black studied them all before going out on his quest To Be a Master. Pity he has No Social Skills and feels that it's appropriate to shout out his dreams to people who are quickly going deaf.
 * Joshua Lundgren of Gun X Sword is one of the greatest mecha engineers in the world... and doesn't understand why women scream when a guy walks into the girl's bathroom.
 * Bleach: Orihime is a straight-A student and third best in a 300-pupil year group. She also has black-belt karate skills (bizarrely downgraded to yellow belt in the anime) and is one of the two most gifted members of the Handicraft Club (alongside Uryuu Ishida who is joint-first best student in the year group and himself capable of Ditzy Genius behaviour). Despite her genuine intelligence, she's also a Cloudcuckoolander with a very active imagination resulting in her having sometimes bizarre reactions to mundane events.
 * The title character of Suzumiya Haruhi is brilliant at most things she does, scoring incredibly high in all her classes and every sport she tries with minimal effort, but she utterly fails when it comes to anything that requires her to consider other people's points of view, like the movie she made. She thought it was brilliant; everyone else was... less enthused. At one point she fails to comprehend why characters always die at the climax of a story, and another time she complains that crabs didn't evolve softer shells so she could eat them easier. She also fails to realize that wearing a Playboy Bunny outfit at school would upset the teachers. And then there's her general Insane Troll Logic, such as pointing out that Tanabata wishes will take years to reach their destination due to the speed of light delay, but expecting that Orihime and Hikoboshi will be able to ignore the lightspeed barrier because they're gods.

Comics
"Calvin: Hey Mom, did you know that gravity in outer space works as if space was a soft, flat surface? It's true. Heavy matter, like planets, sinks into the surface, and anything passing by, like light, will "roll" toward the dip in space made by the planet. Light is actually deflected by gravity! Amazing, huh? And speaking of gravity, I dropped a pitcher of lemonade on the kitchen floor when my roller skates slipped. Calvin's mom: (cleaning up the mess) How can kids know so much and still be so dumb?"
 * Lois Lane: A woman whose journalistic brilliance is matched only by her total inability to recognize sneaking into the villain's lair alone and unarmed just might be dangerous.
 * And let's not forget her inability to recognise her boyfriend's face.
 * The perpetually six-year-old Calvin of Calvin and Hobbes. An example:


 * Jason from FoxTrot. The kid always does his homework, and gets incredibly high marks in school, and yet will pull of incredibly dumb, and sometimes dangerous stunts, half the time just to torture his sister.
 * Bart Allen, aka Impulse I and later Kid Flash II. He's got an awesome Photographic Memory and the ability to super speed read an entire library in two hours. He could rival Oracle in terms of encyclopedic knowledge, but he's in his own little world most of the time.

Fan Fiction

 * Princess Luna in Progress manages to be a brilliant leader, improving irrigation systems and the tax code and much more (not to mention being a Physical Goddess), and set the microwave to 27 minutes when making popcorn. Being a Fish Out of Temporal Water helps.

Film

 * Zefram Cochrane from Star Trek: First Contact. Inventor of warp drive, but also a heavy drinker.
 * Brilliant physics-defying engineer Montgomery Scott, a man so brilliant he came up with trans-warp beaming. And a man so stupid, he decided to test the thing on Admiral Archer's dog, and promptly got himself Reassigned to Delta Vega.
 * A Beautiful Mind has John Nash, a mathematics wiz who will actually go up to a woman and say, "I don't exactly know what I am required to say in order for you to have intercourse with me. But could we assume that I said all that. I mean essentially we are talking about fluid exchange right? So could we go just straight to the sex. "

Literature

 * Jakub Wedrowycz is literally a genius, but comes across as a Ditzy old bum due, in part, to poor general education (three years of elementary school back in the 1910's), though Obfuscating Stupidity also comes in play.
 * Michael Sevenson in the Knight and Rogue Series manages to be Too Dumb to Live after having gone through a university. His complete inability to even tell a partial white lie, and his tendency to act without thinking (sometimes to the extent that he doesn't even realize he's acted until after that fact), not to mention his tendency to ignore social norms, make it suprising whenever he shows that he does, in fact, posses intelligence.

Live Action TV
"Eighth Doctor: A meteor storm. The sky above us was dancing with lights. Purple, green, brilliant yellow. YES! Grace: What? Eighth Doctor: These shoes! They fit perfectly!"
 * In The Big Bang Theory, Sheldon Cooper may be a brilliant theoretical physicist, but is insufferably arrogant, eternally confounded by social conventions, and almost completely ignorant of pop culture outside the sci-fi genre.
 * The Doctor in Doctor Who. He's eccentric, more than slightly manic, rarely compliments anyone's intelligence without mentioning his own, and has the ability to, without fail, sniff out and leap headfirst into any danger that his companion hasn't already stumbled into. Oh, and he's also a ridiculously competent Genius who's saved the Earth countless times, but that's nothing you'd be able to tell at first glance. Expecially not if you're glancing at his sixth incarnation. Or the Fourth. Or the Tenth. Or... any version of him for that matter. But Six was expecially bonkers. Eight had a definite case of Attention Deficit Ooh Shiny going on, too, both in the movie and the Eighth Doctor Adventures novels:

"Lois: Hollywood's created a dozen versions of Frankenstein and you still didn't get the point."
 * Reid from Criminal Minds often qualifies, although he's working on it, in his odd Reid way. He's very good at numbers, statistics and abnormal psychology of all kinds, but no good at all, most of the time, at things like the unspoken rules of conversation and tact.
 * Cordelia Chase from Buffy the Vampire Slayer.
 * Bones. Oh, Bones. So intelligent for solving crimes and yet so clumsy with social stuff...
 * Kurt Hummel from Glee is very intelligent and a fluent French speaker, but prone to moments of ditziness, such as his belief boxes have four sides or his plan to feed the doves at  glitter.
 * Alex P. Keaton from Family Ties. He's a hypercompetitive straight A student and math genius who was doing his parents' taxes when he was five years old and advised his parents on mortgage rates when they bought their house. Yet in everyday activities he often proves completely incapable. His little sister frequently beats him in sports, he fails at things like building kites, cooking or fixing cars even with extensive directions.
 * Sherlock from, well, Sherlock. Justified as Sherlock only keeps important information in his "hard drive," which does not include tact, common sense or the idea of heliocentrism.
 * Lloyd Lowry from Breakout Kings has many elements of this.
 * Prof. Hamilton on Lois and Clark had discovered a way to clone dead people with all their old memories and personalities intact, as well as a way to alter personalities. So he brings back Al Capone, John Dillinger, and Bonnie and Clyde. Naturally, they all escape and wreak havoc across Metropolis. Lois even called him out on it.


 * Alli Bhandari from Degrassi is brilliant with math and science, an ace writer, and has a great memory. However, she usually gets into bad situations based on her lack of people-smarts and street-smarts.
 * Philip from Kamen Rider W has access to all the knowledge of the earth and is quite smart in his own right, able to figure out many things that Shoutarou can't. However, due to a Mind Wipe and being trapped in a factory placidly taking orders for eleven years, he doesn't know things that most people consider rudimentary. When he happens upon a subject that he finds interesting (a place, a food, a type of dance...) he will obsessively look up everything he can about it, oftentimes dressing up in zany outfits or trying nearly-suicidal activities just because he can. Also, especially towards the beginning of the series, he has No Social Skills.
 * Recurring Character Professor Pepperwinkle in The Adventures of Superman. Example: he brought his latest invention to show Perry White. It was an (untested) time machine. Perry didn't have time to look at it because he was busy with an Important Story involving a gangster who was about to turn himself in to The Authorities, and who was in his office at the time; so the Professor turned his time machine on and sent them all (himself, the gangster, Perry, Lois, Jimmy, and Clark) to prehistoric times. Success!
 * ...then he realized he didn't bring enough fuel to make a return trip.
 * The Solomon's from 3rd Rock from the Sun are all advanced aliens who could make fools out of even the smartest human beings, yet, because they have never dealt with emotions before, they come off as utterly crazy and weird to everyone around them. Dick, in particular, is a pompous manchild who can't even teach a young girl to play hopscotch without turning it into an argument.
 * Shaun Murphy in The Good Doctor is able to process an incredible amount of information but behaves like a child even though he is in fact in his twenties. He also has a tendency to be incredibly blunt which often frightens patients who are neither familiar enough with him or medical science in general to stomach it.

Video Games

 * Arguably, Otacon in his first appearance in Metal Gear Solid. The man's brilliant with technology, but social interaction and judging the motives of other people are not his strong points.
 * This is played Up to Eleven in The Last Days of Foxhound, where Otacon is brilliant but has the innocence and naivete of a child in a world where everyone else is a sociopath or a Manipulative Bastard. It doesn't end well. Mai Ling is similarly played like a engineering genius with the mind of a giggly teenage Genki Girl, but in her case it doesn't lead to anything but mild annoyance from the main characters.
 * Dr. Ivo "Eggman" Robotnik is a genius who has an IQ of 300, capable of singlehandedly building entire fleets of airships and space stations as well as armies of killer robots. However, he usually dresses his machines in garish colors, tends to throw temper tantrums whenever he's on the losing side and has a tendency to paste his face on everything.
 * Rita Mordio in Tales of Vesperia. A prodigy mage at the age of fifteen, but possessing absolutely no social skills. She's rude, direct, violently assaults those who bother her and cares nothing for other people. This can be chalked up to her young age and that she was raised (as an orphan) in a university town filled with self-absorbed scientists.
 * Pascal in Tales of Graces is a lot more sociable than Rita, but she's so energetic that she's nigh-incomprehensible when she gets excited, and she can't read social situations: she doesn't so much break the tension in a room as much as crash through it head-first. She also has no concept of personal space.
 * Harold from Tales of Destiny 2 is an eccentric, unpredictable, childish and sometimes downright psychotic young lady; yet, she is the genius behind the creation of the Swordians, and a magic expert. The writers of Vesperia seem to have taken a bit of her when making Rita; theory supported by a Harold mask usable by her (as an Attachment) and her Miska Doctoral Degree costume title, very reminiscent of Harold's garment.
 * Luigi may qualify for this. When he's turned evil, he manages to build a giant killer robot that takes over two hundred hits with an alien space laser to go down in a couple of hours, owns his own airship (that he's implied to have built himself), is a master at card games, is explicitly stated to be the brains of the brothers, when Mario has a job which already requires someone to be very smart, and, yet, acts extremely childish when he's on adventures. On the other hand, it might all be an act to make himself seem less capable.
 * Merrill of Dragon Age II is a brilliant mage and historian well noted for her talents. She's also extremely naive, very socially awkward, and has little in the way a common sense (for some time she considered muggings to be some form of greeting). This is both played for laughs and treated seriously.
 * Medic. Oh, Medic. He may look like he has it fairly together on the field, but look a little closer and you'll find out otherwise. For example, he apparently believes that the best way to talk to a patient during surgery (the patient being his Heterosexual Life Partner, no less) is to regale him with the story of how he lost his medical license (it involved removing the entire skeleton from a man who lived to tell the tale). It's fairly obvious that the man is both socially inept and generally round the twist.
 * Australium poisoning has this and Testosterone Poisoning as its main effects. Radigan Conagher (Engie's grandfather), after working with australium for years, became intelligent enough to make a fully functional prosthetic limb, and dumb enough to saw his hand off to be able to use it, and Australia, the main source of this metal, is the most advanced country in the entire world, yet they elect their king by kangaroo boxing.

Webcomics

 * Molly in The Inexplicable Adventures of Bob, an Omnidisciplinary Scientist with the personality of a child. Also Galatea, although these days Golly does a better job of at least looking worldly-wise, even if she's still incredibly naive.
 * Palma from Mushroom Go. She's an immature, loud mouthed teenager with a short attention span and poor grammar. She may also be the smartest Pianta in the world, and has spent most of her life lost in books.
 * Brandi of Wapsi Square is beyond brilliant when it comes to planning, to the point where any unusual coincidence that worked to the favor of the protagonists can be attributed to her manipulations. She also fails to realize that flies drown when she flushes them down the toilet (she couldn't just shoo them outside because it was winter in Minnesota, and they would quickly freeze to death).
 * In Sakana, Taisei is incredibly smart and a talented Salaryman. He's also incredibly silly and childish (but well-meaning).
 * Link is this in Nintendo Acres: Competent at being the hero of the LoZ games, has an incredible knowledge of literature, and can't open a door without using a bomb or boomerang.
 * Brian Fitzpatrick in Rhapsodies is a gifted polymath, economist and accountant who can pretty much make numbers do what he wants. He is however impulsive with an extremely abrasive personality and is so socially clueless most people think he's an idiot.
 * Nina in Eerie Cuties. 14 years old when introduced, but acted about half this much (on average), is easily distracted by butterflies and ocasionally (whether via vampiric charisma or being just that adorable) pulls people into nonsensical schemes. But she's good at actual problem solving. Brooke (who tend to outsmart herself) calls Nina "kiddo" despite being the same age, yet they end up hanging out with each other, and with their teacher - a friendly neighborhood Mad Scientist.

Web Animation

 * So and So from Teen Girl Squad. She gets straight A's and prides herself on being an academic overachiever, yet is utterly devoid of anything resembling common sense.

Web Original

 * Delta Spike from Whateley Universe is a prime example: a Gadgeteer Genius who is especially well known on campus for the catastrophic explosions her devises cause when they inevitably fail, she tends to assume that everything will work perfectly and doesn't consider consequences. As one character put it, "She knows A plus B will equal C, but she fails to consider that there's a D, E, and F."
 * Gordon Freeman as depicted in Freeman's Mind is a narcissistic, bumbling, lazy, and overall bizarre human being who, among other things, built pillow forts out of plaster when he was a kid, got mad at zombies for not answering his questions, thought his mailman was spying on him, and stayed up for three days straight when he thought his house was being invaded by frog people. Some of his interactions with the scientists also show him to pretty inept and overall dickish socially, and he's implied to go on drinking binges regularly as well as get high on whatever's available. However, his inner monologues show that, despite all of this, he's quite competent in combat, is actually very knowledgeable about theoretical physics, speaks at least five languages (Haitian Creole, Spanish, German, Hindi and English), and has proven consistently more competent both physically and mentally than anyone else in Black Mesa.

Western Animation

 * Forge is portrayed this way in both X-Men: Evolution and Wolverine and the X-Men, though in the latter it's more a case of Brilliant but Lazy, while in Evolution he's energetic and brilliant, but somewhat foolish and lacking in foresight.
 * Shadowcat from X-Men: Evolution also qualifies. She's portrayed as a very intelligent student, but could be easily excited over "typical" teenage topics (driver's license) and early on had the tendency to use the word "like" so much in a single sentence, Shaggy Rogers would take notice.
 * Bessie Higgenbottom can do anything that will earn her a badge - including creating cold fusion or building a working robot with limited AI - but that doesn't make her any less of a ditz.
 * Minor Daria character Ted fits this trope. He was homeschooled for most of his life, which gave him both an Encyclopedic Knowledge of everything and a ditzy lack of social skills.
 * Twilight Sparkle from My Little Pony Friendship Is Magic. A unicorn so smart, she knows most of the constellations by heart and was able to finish a race fifth place, ahead of a few dozen other, more athletic horses, simply by using her book smarts. She’s also a filly so silly, she needs to consult a reference book on something as simple as a sleepover. She even reads the book to find out what to do when a tree falls into her house, instead of just getting up and helping move it.
 * The third season of Generator Rex gives us Cesar Salazar, the formerly absent older brother of the eponymous Rex. Among his many achievements are: Working on the nanite project alongside his and Rex's parents, building a mobile lab capable of traveling at relativistic speeds, sauntering into Providence and casually neutralizing everyone between him and his kid brother, and  When not performing feats of scientific awesomeness, however, it's clear that, against all logic, Rex, not known for being the smoothest guy around, got all the social skills in the family.
 * Gadget from Chip 'n Dale Rescue Rangers.
 * Dr. Drakken and Professor Dementor from Kim Possible.
 * Brain from Pinky and The Brain / Animaniacs regularly produces plans that are ingenious and lack any kind of common sense.
 * Jack Spicer from Xiaolin Showdown, to the extent that the other characters tend to forget that he really is a genius.
 * Roba from The Problem Solverz. He's the smartest member of the team, is knowledgeable about many subjects, and has built his own radar scanner. However, he's also very socially inept and childish.
 * Heinz Doofenshmirtz from Phineas and Ferb. He's a genius when it comes to science, technology, math, and engineering, but he lacks just about everything else such as social skills and common sense. He puts self-destruct buttons in a convient location on just about every invention he builds, and he's never even recognized his nemesis, Perry the Platypus, in even the most transparent of disguises, and tends to assume Perry is just an ordinary platypus if he's not wearing his trademark fedora. To put all this into perspective, take his scene in the episode "Fireside Girl Jamboree": He was smart enough to build a machine that is capable of transforming metal into broccoli (A mineral into living matter), but decided to make it out of metal.
 * The title character of Scaredy Squirrel.

Real Life

 * There is an old joke about a professor who, at a university formal dinner, helps himself to some peas using his hand. When he realises what he's done, he excuses himself with "I'm sorry, I thought they were beans."
 * Some Dutch use to say: "Krankzinnigheid ligt dicht bij begaafdheid". This means as much as: "Crazyness is close to genius."